3x + 5. The sun of the roots of 3x^2+11x-4=0. x = 4. Earlier we factored this polynomial by splitting the middle term. Copied to clipboard. Step-1 : Multiply the coefficient of the first term by the constant 3 • 30 = 90. If a, b and c are the roots of the polynomial 3x³ + 11x - 22 and sum of the roots is 0, then find the value of a³ + b³ + c³. star. Middle School Math Solutions – Inequalities Calculator. I'm seeing a -4 at the end of the equation. 3x + 1=0 or x− 4=0 x = −1 /3 or x = 4. Hence , required zeros are -1/3 and -4 . First, the expression needs to be rewritten as 3x^{2}+ax+bx-4. x=0 and x=-1. Therefore: -x^2 + 9 - 3x^2 - 11x + 4 goes to -4x^2 + 13 - 11x. 2 3 4. messages. 3x^{2}+11x-4=0.5k points) quadratic equations; class-10; 0 votes. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. . Calculator Examples » In the above equation 3x^2+11x-4 = 0, I understand where we need to find two numbers were a+b need to equal 11 to satisfy the 11x, however, I'm having trouble connecting where -12 came from where it states that we need to find numbers to satisfy (a)(b) = -12. Study with Quizlet and memorize flashcards containing terms like Using the quadratic equation to solve 3x 2 + 11x - 4 = 0, the value of b 2 - 4ac is, Solve the following problem for the roots by using the quadratic formula. Learn the basics, check your work, gain insight on different ways to solve problems. 3x 2 – 11x + 6 = 0. Was this answer helpful? 2.4-x11- } 2 {^} x { 3 ekam taht seulav eht lla si noitulos lanif ehT .500 Step by step solution : Step 1 :Equation at the end of step 1 : ( (2•3x2 3 x − 5 = 25 − 3 x; 2 x 2 + 55 x − 87 = 0; graph of a circle with radius 10 and center at (15,-3) 2, 9, 16, 23, 30; 0. 3x −1 = 0 → 3x = 1 → x = 1 3. Click here 👆 to get an answer to your question ️ Select the correct answer. (3x +1)(x −4) ≤ 0. Related Symbolab blog posts. Add 4 to both sides of the equation.003234 to scientific ; 1, 7, 13 Precalculus. Parabola, Finding the Vertex : 4. Popular Problems Algebra Solve by Factoring 3x^2+11x-4=0 3x2 + 11x − 4 = 0 3 x 2 + 11 x - 4 = 0 Factor by grouping. en. 3x2 − 11x − 20 3 x 2 - 11 x - 20. View Solution. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics 3x2 - 11x + 6 = 0. Move all terms to the left side of the equation and simplify. -12.9/5. Factorise: √3x 2 +11x+6√3. Use the quadratic formula to find the solutions. verified.8/5. Isolate the variable, and solve for the variable by undoing any arithmetic Free quadratic equation factoring calculator - Solve quadratic equations using factoring step-by-step.. 3x(x+1)=0. Now , Verification. Step 1: Write down the coefficients of 2x2 +3x+4 into the division table. Algebra.21- = )b()a( yfsitas ot srebmun dnif ot deen ew taht setats ti erehw morf emac 21- erehw gnitcennoc elbuort gnivah m'I ,revewoh ,x11 eht yfsitas ot 11 lauqe ot deen b+a erew srebmun owt dnif ot deen ew erehw dnatsrednu I ,0 = 4-x11+2^x3 noitauqe evoba eht nI … eht esu ot woh nrael ot yaw tsekciuq eht si egap selpmaxE eht no selpmaxe eht gniyrT selpmaxE eroM » !won elpmaxe siht yrT . Get all the terms with the wanted variable on one side of the equation and all the other terms on the other side. Penyelesaian Persamaan Kuadrat. 3x2 + 11x = 4. heart outlined. Step-4 : Add up the first 2 terms, pulling out like factors : x • (2x+1) Add up the last 2 terms, pulling out common factors : 3 • (2x+1) Two numbers r and s sum up to 11 exactly when the average of the two numbers is \frac{1}{2}*11 = \frac{11}{2}.5 (1 − y) find the midpoint of the points (1,2) and (3,-4) find the domain and range of (7,3),(-2,-2),(4,1),(4,1),(-9,0)(0,7) 7, 15, 23, 31, 39, 47, 55, 63; 0. View Solution. . 3x²+3x=0. A discount of 10% given on marked price. The middle term is, +11x its coefficient is 11 . arrow right. Hence the negative x-intercept is (-1/3, 0) Also, x-4 = 0. . Solve for x x. Solution.1/3x^2-11x-4=0 solve for x, 3x^{2}-11x+6=0. Sum = 1/3 - 4 = (1 - 12)/3 If 3x2 - 11x - 4 = (3x + 1)(x - 4), which equations should be solved to find the roots of 3x2 - 11x - 4 = 0? star. Factor out the 4. Now , Verification. 1. The function will become 3x²-11x-4 = 0. Quadratic equations such as this one can be solved by a new direct factoring method that Algebra. factorising expressions . x=1/3. To find the product, multiply 3x^2 by -4. Divide the polynomial by x-2 to. Difference of Squares: a2 – b2 = (a + b)(a – b) a 2 Factorise 3x^2 + 11x 4 = 0 Get the answer to this question and access other important questions, only at BYJU’S. . We find out two factors whose sum is -11 and product is 12 3x = 10 + 1; 3x = 11; x = 11/3. Get the x-intercepts. When x=-1, then y=10. →3x^2 +12x-x-4=0. Middle School Math Solutions - Inequalities Calculator. (x-4) is a factor of 3x^2 - 11x -4. View Solution. Free Factor Trinomials Calculator - Factor trinomials step-by-step. Q5. Steps Using Factoring By Grouping. Tap for more steps Step 1. Get the x-intercepts. . Copy. Polynomial Synthetic Division Calculator - apply polynomial synthetic division step-by-step. Solve for x 3x+2=11. . Solution. 3 x 2 + 11 x - 4 = 0 ⇒ 3 x 2 - x + 12 x - 4 = 0 ⇒ x ( 3 x - 1) + 4 ( 3 x - 1) = 0 ⇒ ( 3 x - 1) ( x + 4) = 0 Answer: Option (a) is correct. Try this example now! » More Examples Trying the examples on the Examples page is the quickest way to learn how to use the calculator. Solving 3x 2 +11x-4 = 0 directly . So we get. heart. or , x+4=0. Factorize the result to have: 3x² -12x + x - 4 = 0 Factor out the GCF. View Solution. 3*4 = 12. Tap for more steps x = 3 x = 3. This answer has been confirmed as correct and helpful. On the last post we covered completing the square (see link). 1/3 + (-4) = -11/3. Set 3x4 −11x3 −x2 +19x+6 3 x 4 - 11 x 3 - x 2 + 19 x + 6 equal to 0 0. Hence the negative x-intercept is (-1/3, 0) Also, x-4 = 0. Enter a problem Cooking Calculators. 1.840 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 x = -5/3; x = -2; Correspondiente a la opción A En este caso tenemos la ecuación: 3x² + 11x + 10 = 0 Identificamos los elementos como: a = 3 / b = 11 / c = 10 Hallamos las dos raíces solución mediante al resolvente cuadrática: Primera raíz solución: Segunda raíz solución: Las soluciones para la ecuación son: The sum of the roots of 3x 2 + 11x - 4 = 0 is. Explore similar answers. Q4. Frequently Asked Questions (FAQ) What are the solutions to the equation 5x^2-11x+4=0 ? 3x2-11x-874=0 Two solutions were found : x = -46/3 = -15. heart.1. Step 3. Factorise: 3 x 2 + 11 x − 4 = 0. x ^ 2 -\frac{11}{3}x -\frac{4}{3} = 0. These values will be part of the solution since we have an 'or equal to' in the inequality. Tap for more steps 3x2 + 4x−15x−20 3 x 2 + 4 x - 15 x - 20. →3x-1=0. Step 4. Q1. W0lf93. Factor by grouping. The Extended part can be done as a continued fraction, same steps as for integers. Save to Notebook! Sign in. (3x+1) (x−4) = 0 Step 2: Set factors equal to 0.667 x = 3 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 11x) + 6 = 0 Step 2 the discriminant is: Δ = b2 − 4ac. Jonathan and his sister Jennifer have a combined age of 48. Steps Using Direct Factoring Method. 2x2 + 1x + 6x + 3. A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c Read More. The Factoring Calculator transforms complex expressions into a product of simpler factors. (x 2 - 4x + 3) = 0. verified. Multiply by .174 x = (11+√145)/6= 3. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. 3x2 + 11x + 10 = 0 3 x 2 + 11 x + 10 = 0. Solve Using the Quadratic Formula 4x^2-11x-3=0. Not sure where -12 came from. or , x+4=0. Divide 2 x 3 + 3 x 2 − 11 x − 6 by x 2 + x − 6. Talk to an Expert about this answer., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G Byju's Answer Standard VIII Mathematics Factorisation of Trinomial Factorise 3x^ Question Factorise: 3 x 2 + 11 x - 4 = 0 Solution Factorization The given equation is, . View Solution. igualas a 0 cada una X+4=0. 3x^{2}-11x+4-4=-4 . Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6). Algebra. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. We see that 3 x 2 − 11 x − 4 = 0 3x^2-11x-4=0 3 x 2 − 11 x − 4 = 0 has the form a x 2 + b x + c = 0 ax^2+bx+c=0 a x 2 + b x + c = 0, where a = 3 a=3 a = 3, b = − 11 b=-11 b = − 11, and c = − 4 c=-4 c = − 4. 50. verified.1 Factoring 3x2+11x-4. Step 1. Algebra. 5. Penyelesaian Persamaan Kuadrat. Similar Questions. Copied to clipboard. Where: a = 1, b = −1 and c = −2. Procedimiento para factorizar la expresión. +.333333333 Steps Using Factoring By Grouping Steps Using the Quadratic Formula Steps for Completing the Square Steps Using Direct Factoring Method View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Polynomial 3x2 +11x−4 = 0 Similar Problems from Web Search Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step Algebra Solve Using the Quadratic Formula 3x^2-11x-4=0 3x2 − 11x − 4 = 0 3 x 2 - 11 x - 4 = 0 Use the quadratic formula to find the solutions. Step 1. Simplify. quadratic-equation-calculator. Move all terms not containing x x to the right side of the equation. x ^ 2 -\frac{11}{3}x -\frac{4}{3} = 0. Q3. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Send us Feedback. Copy. Click here 👆 to get an answer to your question ️ The sum of the roots of 3x 2 + 11x - 4 = 0 is -11/3 -4/3 11/3 4/3 3x^2 - 11x - 4 = 0 (3x + 1)(x - 4) = 0 3x + 1 = 0; x = -1/3 x - 4 = 0; x = 4 {-1/3, 4} is the solution set of 3x^2 - 11x - 4 = 0 answer B.1. the sum of the root of 3x^2+11x-4=0.333333333 Steps Using Factoring By Grouping Steps Using the Quadratic Formula Steps for Completing the Square Steps Using Direct … Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step Algebra Solve Using the Quadratic Formula 3x^2-11x-4=0 3x2 − 11x − 4 = 0 3 x 2 - 11 x - 4 = 0 Use the quadratic formula to find the solutions. x ^ 2 +\frac{11}{3}x -\frac{4}{3} = 0. Factorise: 3 x 2 + 11 x − 4 = 0. Step 3. Answer: option B. factorising expressions . 3x^{2}+11x-4=0. (3x −1)(x +4) = 0. →x=1/3 or , -4 . 5/5. Solve the cubic equation x 3 - 6 x 2 + 11x - 6 = 0. Hence 4 times 6x^2 = 24x^2. →(3x-1)(x+4)=0.8) × 0. Let's solve for x x x! Substituting the values of a a a, b b b, and c c c in Equation 1 1 1, we get: User: The sum of the roots of 3x 2 + 11x - 4 = 0 is a. Substituting +8x +3x as 11x in the equation: Find k, if the equations 4 x 2 − 11 x + 2 k = 0 and x 2 − 3 x If the equations x 2 + 3 x + 2 = 0 and x 2 + k x + 6 = 0 have a common root then find the values of k. First, the expression needs to be rewritten as 3x^{2}+ax+bx-4. 3x^2-11x-4=0 3. Substitute the values , , and into the quadratic formula and solve for . Q2. View Solution. 2)Product of zeros= -4/3= c /a x^2+2x+1=3x-10; 2x^2+4x-6=0; Show More; Description. ALJABAR. Factor by grouping.333 x = 19 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 11x) - 874 = 0 Step 2 :Trying to factor by 3x2-11x-2=0 Two solutions were found : x = (11-√145)/6=-0. Next up in our Getting Started maths solutions series is help with another middle school algebra topic - solving Read More.1. -4/3 c. Hence the positive x-intercept is (4, 0) Learn more on Middle School Math Solutions – Polynomials Calculator, Factoring Quadratics. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Save to Notebook! Sign in. 3x^2 + 11x - 4 = 0 x^2 + (11/3)x = 4/3 (x+11/6)^2 = 169/36 Step-by-step explanation: heart outlined. 3x^2-11x+4=0 2. Penyelesaian dari 3x^2 -11x - 4 = 0adalah a dan b. 3x(x-4) + 1(x-4) = 0 (3x+1) (x-4) = 0. Earlier we factored this polynomial by splitting the middle term. verified. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Earlier we factored this polynomial by splitting the middle term. 3x+1 = 0. a+b=-11 ab=3\left(-4\right)=-12 . 3x^2 + 11x - 4 = 0; (3x - 1) (x + 4) = 0; 3x - 1 = 0; 3x = 1; x = 1/3; x + 4 = 0; x = -4; The sum of the roots of 3x^2 + 11x - 4 = 0 is -11/3. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Expert-Verified Answer %counter% people found it helpful. and +8 + 3 = 11. Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is 11 . 3x^{2}+11x+4=0 . On the last post we covered completing the square (see link).1. Tap for more steps x2 + 11x 3 = 4 3. The first term is, 3x2 its coefficient is 3 .333.18 ÷ 0. 3x 2 - x + 12x - 4 = 0. Tap for more steps Step 1. Tap for more steps 4x2 − 9 = 0 4 x 2 - 9 = 0. Save to Notebook! Sign in. 3x2 − 11x + 6 = 0 3 x 2 - 11 x + 6 = 0. Q2. -x^2+3x+4. Get two numbers when you multiply them it will give you 24 but if you add them it will give 11. Open in App.

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Step 5. In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x = -1/3. mark as a brainlist. star. x ^ 2 +\frac{11}{3}x +\frac{4}{3} = 0. .1 Factoring x2+11x-210 The first term is, x2 Verified answer.333 x = -1/2 = -0. The numbers are +8 and +3 because +8 x +3= +24. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Earlier we factored this polynomial by splitting the middle term. If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the Step-by-step explanation: 6x^2+11x +4. Step 1.1 Find the Vertex of y = 3x 2 +11x-4 Parabolas have a highest or a lowest point called the Vertex . Example 5. Free Factor Trinomials Calculator - Factor trinomials step-by-step. Factor the expression by grouping. To solve this problem using division method, take any factor of the constant 6; let x = 2.667 Step by step solution : Step 1 :Equation at the end of step 1 For 3x^2 - 11x - 4 to equal zero, one of its factors must be equal to zero. Q2. Subtract 4 from both sides of the equation. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅6 = 18 a ⋅ c = 3 ⋅ 6 = 18 and whose sum is b = −11 b = - 11. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Solution.890 x = (11+√85)/2=10. Then place the correct number in the box provided. If Jonathan is twice as old as his sister, how old is Jennifer. 3x2 + 11x - 4 = 0. heart. Quadratic polynomial can be factored using the transformation ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), where x_{1} and x_{2} are the solutions of the quadratic equation ax^{2}+bx+c=0. Brainly User. Verified answer. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 … Algebra Factor 3x^2-11x-4 3x2 − 11x − 4 3 x 2 - 11 x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is … Steps Using Direct Factoring Method View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation 3x2 −11x+4 = 0 Similar Problems from Web … Solve for x x = − 31 ≈ −0. Similar Problems from Web Search. Supplement : Solving Quadratic Equation Directly Solving 3x 2-11x-4 = 0 directly . The Factoring Calculator transforms complex expressions into a product of simpler factors.333 x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 11x) - 4 = 0 Step 2 Loved by our community. Parabola, Finding the Vertex : 4. Find the roots of 3 x 2 − 11 x + 6 = 0. Factorise: √3x 2 +11x+6√3. If m and n are the zeros of the polynomial, find the value of m/n+n/m. Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6). High School Math Solutions - Quadratic Equations Calculator, Part 1. Hence the positive x-intercept is (4, 0) Learn more on Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics. Substitute the values a = 3 a = 3, b = 11 b = 11, and c = 10 c = 10 into the quadratic formula and solve for x x.1 Find the Vertex of y = 3x 2-11x-4 3.2 Solving 3x2+11x+4 = 0 by Completing The Square . Step 3. Verified by Toppr. 3X^{2}+11X-20=0.. Q5. dxd (x − 5)(3x2 − 2) Integration. Simplify the following expression. Next up in our Getting Started maths solutions series is help with another middle school algebra topic - solving Read More. Tap for more steps 3x2 + x−12x−4 3 x 2 + x - 12 x - 4 Steps Using Direct Factoring Method View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation 3x2 −11x+4 = 0 Similar Problems from Web Search −3x2 − 11x + 4 = 0 Online math solver with free step by step solutions to algebra, calculus, and other math problems. Limits. Earlier we factored this polynomial by splitting the middle term. Solving 3x 2-11x-4 = 0 directly . Step-2 : Find two factors of 90 whose sum equals the coefficient of the middle term, which is -11 . Tap for more steps (3x−2)(x −3) = 0 ( 3 x - 2) ( x - 3) = 0.333333333 x = 4 Steps Using Factoring By Grouping Steps Using the Quadratic Formula Steps for Completing the Square Steps Using Direct Factoring … Online math solver with free step by step solutions to algebra, calculus, and other math problems. Step 2. Answer: B. Earlier we factored this polynomial by splitting the middle term. The sum of roots of given quadratic equation Step-by-step explanation: Given quadratic equation We have to find the sum of roots. For example: x2 −x −2 = 0. Now solve the quadratic equation (x 2 - 4x + 3) = 0 to get x= 1 or x = 3. Solve quadratic equations step-by-step. Get help on the web or with our math app. Factor the expression by grouping. Similar Questions. 3x^2 - 11x - 4 = 0. en. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 3 a = 3, b = −11 b = - 11, and c = −4 c = - 4 into the quadratic formula and solve for x x. The discriminant can be used to characterize the solutions of the equation as: 1) Δ > 0 two separate real solutions; 2) Δ = 0 two coincident real solutions (or one repeated root); 3) Δ < 0 no real solutions. PERSAMAAN KUADRAT. Parabola, Finding the Vertex : 4. Solve by Completing the Square 3x^2+11x-4=0. 7/4. View Solution. 3x^{2}-11x+4=0 . 2 2 3 4. Consider the given quadratic equation For a given standard quadratic equation , we have Sum of roots is given by and product of roots is given by Thus, for the given quadratic equation 2 2. Q4. x−3 = 0 x - 3 = 0.1. 2(6 - x) = x(x + 5), The imaginary number i raised to the power of 38 simplifies to and more. Online math solver with free step by step solutions to algebra, calculus, and other math problems.7 C. Step-by-step explanation: Let's solve your equation step-by-step. 5/5. 2)Product of zeros= … x^2+2x+1=3x-10; 2x^2+4x-6=0; Show More; Description. (More) This answer has been confirmed as correct and helpful. Related Symbolab blog posts. Given that m and n are the zeroes of the polynomial 3 x 2 + 11 x − 4. Parabola, Finding the Vertex : 6. Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 6. 3x−2 = 0 3 x - 2 = 0. Divide both sides of the equation by 3: x = -1/3 = -0. Supplement : Solving Quadratic Equation Directly Solving 3x 2-11x-4 = 0 directly . The last term, "the constant", is +30. Enter a problem Cooking Calculators. 3X^{2}+11X-20=0. Enter a … Algebra. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. 9. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. The sun of the roots of 3x^2+11x-4=0. 11 ±√(−11)2 −4⋅(4⋅− The right choice is B.rotaluclaC gnirotcaF POTS 11 = 21+1- mus 21xx1- :tsiL :rotcaf evitisop eht si eulav etulosba retaerg htiw rotcaf eht ,11+ eb ot mus eht tnaw ew esuaceB . Added 4/16/2015 8:05:49 PM. 3x^2-11x-4=0. Answer rating 5. Factor the left side of the equation.. So Solve the two equations for zero: 3x+1=0 x-4=0. Pull terms out from under the radical, assuming positive real numbers. In this case, the divisor is x −2 so we have to change −2 to 2.556 Step by step solution : Step 1 :Equation at the end of step 1 A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. 3x^2+11x-4=0 por factorizacion Ver respuesta Publicidad Publicidad jackzotz jackzotz Respuesta: por formula cuadrática x=-4. View Solution. Study with Quizlet and memorize flashcards containing terms like Using the quadratic equation to solve 3x^2 + 11x - 4 = 0, the value of b^2 - 4ac is, Solve the following problem for the roots by using the quadratic formula. Thanks Find the Roots (Zeros) 2x^3-3x^2-11x+6=0. The middle term is, -11x its coefficient is -11 . let us now solve the equation by Completing The Square and by using the Quadratic Formula. Send us Feedback. $$ \left( x^{4} + x^{3} - 9 x^{2} + 11 x - 4 \right) $$ x2-11x+24=0 Two solutions were found : x = 8 x = 3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. If 3x2 - 11x - 4 = (3x + 1)(x - 4), which equations should be solved to find the roots of 3x2 - 11x - 4 = 0? star. In order to complete the square, the equation must first be in the form x^{2}+bx=c. Factoring is the process Read More. Subtract 4/3 from both side of the equation : x2+ (11/3)x = -4/3. 9.2.200 x = 2 Step by step solution : Step 1 :Equation at the end of step 1 : (5x2 - 11x) + 2 = 0 Step 2 :Trying to (x-4)(3x+1) To factor this quadratic, you need a generic rectangle and a diamond problem First, we need to find the sum and product of the diamond problem. the sum of the root of 3x^2+11x-4=0. Step 4: Multiply carry-down by left term and put x2-11x-40 Final result : x2 - 11x - 40 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.333 Solve : x+4 = 0 Subtract 4 from both 3 { x }^{ 2 } -11x-4. 3x + 2 = 11 3 x + 2 = 11. Solve Using the Quadratic Formula 3x^2-11x-4=0. . Not sure where -12 came from. 4x2 − 11x − 3 = 0 4 x 2 - 11 x - 3 = 0. That's it. heart. heart. h (x) = x² + 3x g (x) = -x +4 Find h (g (-x) A. I'm seeing a -4 at the end of the equation.1 Find the For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. Matematika. Perform the indicated operation. Factorize the result to have: 3x² -12x + x - 4 = 0 Factor out the GCF. follow me. Get help on the web or with our math app. Verified answer. f (x) = 3x4 − 11x3 − x2 + 19x + 6 f ( x) = 3 x 4 - 11 x 3 - x 2 + 19 x + 6. View Solution. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. Step-by-step explanation: A. To learn more on Equation User: (12x 2 - 10x -12) ÷ (3x + 2) Weegy: When you multiply and simplify (x + 4) (x^2 - 3x + 2) you get the result of x^3 + x^2 - 10x + 8. Solve by Completing the Square 3x^2+11x-4=0.333 x = 5 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 11x) - 20 = 0 Step 2 :Trying to factor by splitting 3x2-11x-42 Final result : (x - 6) • (3x + 7) Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 11x) - 42 Step 2 :Trying to factor by Differentiation. Q1. −11±√112 −4⋅(3⋅10) 2 Solve the following quadratic equations by factorization: 3x 2 = −11x − 10. For the zeros of 3x^2+11x-4, 3x^2+11x-4= 0.2 fo dne eht ta noitauqE: 1 petS : noitulos pets yb petS 961. User: Solve |4x - 8| User: Solve the following inequality. Tap for more steps (3x−1)(x +4) = 0 ( 3 x - 1) ( x + 4) = 0 If … Solve Solve for x x = −4 x = 31 ≈ 0. Add 4 to both sides of the equation. 11/3 d.1 D -12. If the zeroes of the polynomial x 3 − 3 x 2 + x + 1 are m - n, m and m + n, find m and n. Divide each term in 3x2 + 11x = 4 by 3 and simplify. →3x^2 +12x-x-4=0. 3 { x }^{ 2 } +11x-4. -x^2-3x+4 C. View Solution. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Two numbers are in the ratio 11 ∶ 6 . 1)sum of zeros = 1/3-4= -11/4 = -b/a . Substitute the values a = 4 a = 4, b = −11 b = - 11, and c = −3 c = - 3 into the quadratic formula and solve for x x. Q1. 2 (6 - x) = x (x + 5), The sum of the roots of 3x^2 + 11x - 4 = 0 is and more. Isolate the variable, and solve for the variable by undoing any arithmetic Free quadratic equation factoring calculator - Solve quadratic equations using factoring step-by-step. Send us Feedback. Algebra Factoring Calculator Step 1: Enter the expression you want to factor in the editor. Given, zeroes of the polynomial 3x²+11x -4 are m and n ⇒ 3(m)² + 11(m) -4 = 0 ⇒ 3m²+ 11m -4 = 0 ⇒ 3m² +12m -m - 4 = 0 ⇒3m( m+ 4) - 1( m + 4) =0 ⇒ (3m - 1) ( m+4) = 0 ⇒ (3m - 1) = 0 (or) (m +4 ) = 0 ⇒ m = 1/3 or m = -4 if we replace n in x place , we get the same values Hence , m/n + n/m = 1 + 1 =2 hope it helps you. What are the possible rational roots of #6x^4+35x^3-x^2-7x-1=0# and then determine the rational roots? =36x^4-12x^3-11x^2+2x+1#? How do you use the Rational Zeros theorem to make a list of all possible rational zeros, and use the Descarte's rule of signs to list the possible positive/negative zeros of #f(x)=3x^3+3x^2-11x-10#? Get Step by Step Now.253 x = (-11+√421)/6= 1.9 + 0. factorising the quadratic gives. 77 people found it helpful. -11/3 b. For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. factorise root 3x 2 +11x+6root3. Solving 3x 2 +11x-4 = 0 directly . Use the quadratic formula to find the solutions. Divide both sides of the equation by 3 to have 1 as the coefficient of the first term : x2+ (11/3)x+ (4/3) = 0. Set equal to . add and simplify (2x^2-11x)+ (3x^2+10x-4) the answers are either - 6x^2-11x-4 5x^4 5x^2-x-4 5x^2-4. 6. 3x²−11x−4=0 Step 1: Factor left side of equation. Tap for more steps (3x−1)(x +4) = 0 ( 3 x - 1) ( x + 4) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0.1 Factoring x2-11x+9 3x2-11x+6=0 Two solutions were found : x = 2/3 = 0. View Solution. It is pretty strait forward if you Middle School Math Solutions – Polynomials Calculator, Factoring Quadratics. . 2. Parabola, Finding the Vertex : 4. Verified answer. (3x^2 - 11x - 4) - (x - 2) (2x + 3) Answer … 5x2-11x+2=0 Two solutions were found : x = 1/5 = 0. Send us Feedback. 3x^{2}-11x-4=0 Quadratic equations such as this one can be solved by completing the square. By splitting the middle term. Divide 3x2 − 11x − 4 by x − 4.1 Find the Vertex of y = 3x 2 +11x-4 Parabolas have a highest or a lowest point called the Vertex .(1) y = 3x² − 11x − 4. Subtract from both sides of the equation. Solve 3x^2+11x-4 | Microsoft Math Solver Solve Factor Solution Steps Steps Using the Quadratic Formula Steps Using Direct Factoring Method View solution steps Evaluate Graph Quiz Polynomial 5 problems similar to: Share Examples Quadratic equation Trigonometry Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Solving 3x 2 +11x-4 = 0 directly . Taking out the common terms.5.
 let us now solve the equation by Completing The Square and by using the …
3x2 + 11x − 4
. Solving 3x 2-11x-4 = 0 directly . Was this answer helpful? 2. Therefore, (0, -4) and (-1, 10) are the solutions of the given system of equation. Solve : 3 x 2 + 11 x + 10 = 0. asked Mar 22, 2022 in Quadratic Equations by Kshitijrathore (43. 3 ( 2x - 1 ) - 2( 3x + 4 ) = 11 x By Solving We get , 6x - 3 - 6x - 8 = 11x-11x = 11 One way is to get a zero (0) on one side of the inequality. 1) BFS. When x=0 then y=-4. Tap for more steps 3x = 9 3 x = 9. Polynomial Synthetic Division Calculator - apply polynomial synthetic division step-by-step.snoitulos eht dnif ot alumrof citardauq eht esU . First, the expression needs to be rewritten as 3x^{2}+ax+bx-4. Free calculus calculator - calculate limits, integrals, derivatives and series step-by-step.3 Solving 3x 2-11x+10 = 0 by the Quadratic Formula . Solve. The value of (0. Factor using the rational roots test. Explore math with our beautiful, free online graphing calculator. We now require to consider the 'less than' part of the 3x2-11x-20=0 Two solutions were found : x = -4/3 = -1. 3x2+11x+6 Final result : (3x + 2) • (x + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 + 11x) + 6 Step 2 :Trying to factor by splitting the middle term 3x2+11x+6=0 Two solutions were found : x = -3 x = -2/3 = -0. Q4. y=-4-14x. Find the roots of quadratic equation √3x^2 + 11x + 6√3 = 0. Factor the expression by grouping.333.

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3x^2 + 11x -4=0 ax^2 +bx +c=0 Multiply ac to get -12 find factors the multiply to get -12 and add to get the coefficient of the middle term +11 Because we want -12, one factor is negative and the other is positive. (3x + 1) and (x - 4) (3x - 1) and (x + 4) (3x - 2) and (x + 2) (3x + 2) and (x - 2) I assume that the correct equation is 3x2 + 11x - 4.1 Find the Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations.369 x = (-11+√161)/10= 0. 3X²+11X-4=0 por factorización paso a paso con comprobación por favor! Ver respuesta (3x-1)(x+4)=0 Publicidad Publicidad josesosaeric josesosaeric Tenemos que, realizando la factorización de la expresión dada por vamos a obtener como resultado . To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. x→−3lim x2 + 2x − 3x2 − 9. High School Math Solutions - Quadratic Equations Calculator, Part 3. →3x(x+4)-1(x+4)=0.1 Find the Vertex of y = 3x 2-11x-4 Parabolas have a highest or a lowest point called the Vertex .0/5. View Solution. x + 1 x − 23 3x + 1 3x − 23 . The imaginary number i raised to the power of 38 simplifies to -1. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work We shall now solve each term = 0 separately. Related Symbolab blog posts.Popular Problems Algebra Solve by Factoring 3x^2+11x-4=0 3x2 + 11x − 4 = 0 3 x 2 + 11 x - 4 = 0 Factor by grouping. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Starting at $5. Quadratic equations such as this one can be solved by completing the square. For the zeros of 3x^2+11x-4, 3x^2+11x-4= 0. Factoring is the process Read More.1 Factoring x2+11x-210 The first term is, x2 Verified answer. 176. 1 Answer Nghi N Aug 4, 2017 -4; #1/3# Explanation: #3x^2 + 11x = 4# Divide both sides by 3: #x^2 + (11x)/3 = 4/3# #x^2 + (11x)/3 + 121/36 = 4/3 + 121/36# 6x2+11x+5 Final result : (6x + 5) • (x + 1) Step by step solution : Step 1 :Equation at the end of step 1 : ( (2•3x2) + 11x) + 5 Step 2 :Trying to factor by splitting the middle term 6x2+11x+4=0 Two solutions were found : x = -4/3 = -1. x = 1/3 and x = -4. x2+11x-210=0 Two solutions were found : x = 10 x = -21 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. Step-1 : Multiply the coefficient of the first term by the constant 3 • -4 = -12. Solve Using the Quadratic Formula 3x^2+11x+10=0. 3X-1=0.15 (y − 0. . Related Symbolab blog posts. PERSAMAAN KUADRAT. To solve the equation for different variables step-by-step clear any fractions by multiplying both sides of the equation by the LCM of the denominators. Hence , required zeros are -1/3 and -4 . Earlier we factored this polynomial by splitting the middle term. 3x 2 + 11x - 4 = 0 . The first term is, 3x2 its coefficient is 3 . let us now solve the equation by Completing The Square and by using the Quadratic Formula. High School Math Solutions – Quadratic Equations Calculator, Part 3. Divide both sides of the equation by 3: x = -1/3 = -0.0 (%counter% votes) Log in to add comment. Any solution of term = 0 solves product = 0 as well. How do you factor and solve 3x2 + 11x − 4 = 0? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer lechugamaestro19 Mar 5, 2018 x = 1 3 or − 4 Explanation: In this quadratic, the coefficient of the squared term gives us a big hint on how to factor this. Solve Using the Quadratic Formula 3x^2+2=11-x^2. The zeroes of the quadratic are x = − 1 3 and x = 4. Related Symbolab blog posts. →3x(x+4)-1(x+4)=0. We can divide 0 by either binomial to cancel it out and focus on solving just one binomial. Step 3. Q3.1. Brainly User.200 x = 2 Step by step solution : Step 1 :Equation at the end of step 1 : (5x2 - 11x) + 2 = 0 Step 2 :Trying to factor by splitting the 5x2-13x-17=0 Two solutions were found : x = (13-√509)/10=-0. X^2+11x+28 D. Subtracting 4 from itself leaves 0. 5 /5. Tap for more steps x2 + 11x 3 = 4 3. Step 4. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Now that we know what the sum and product of the diamond problem is, we need to find two terms that multiply to Algebra. Step 3: Carry down the leading coefficient. Select the correct answer from the drop-down menu. Rewrite as . 3x4 − 11x3 − x2 +19x+6 = 0 3 x 4 - 11 x 3 - x 2 + 19 x + 6 = 0. If their HCF is 4, find the smallest number.001 is: Q4. 2 2 2 3 4. Factoring is the process Read More. Nilai dari 9ab adalah A. 3x(x-4) + 1(x-4) = 0 (3x+1) (x-4) = 0. Advertisement.1 Factoring 3x2-11x+30. 8,2 ÷ 2,05 ayiudaaaa porfa si alguienn entiendeeeeee Two numbers r and s sum up to \frac{11}{6} exactly when the average of the two numbers is \frac{1}{2}*\frac{11}{6} = \frac{11}{12}. This answer has been confirmed as correct and helpful. 3x^2-11x - 4=0 . To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. 4. →3x-1=0. Open in App. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -4 and q divides the leading coefficient 2. star. 1 answer. Solution: The given quadratic equation is. factorise root 3x 2 +11x+6root3. This answer has been confirmed as correct and helpful. In order to complete the square, the equation must first be in the form x^{2}+bx=c. Example: 2x-1=y,2y+3=x. This is the same as solving: (x-4) (3x+1)=0 (because this is just the factored form of the original equation.) Now this means either x-4=0 or 3x+1=0. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. Get all the terms with the wanted variable on one side of the equation and all the other terms on the other side. 3x = 1 and x = -4.110 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. 3x=0 and x+1=0. →(3x-1)(x+4)=0. 3X²+11X-4=0 por factorización paso a paso con comprobación por favor! Ver respuesta (3x-1)(x+4)=0 Publicidad Publicidad josesosaeric josesosaeric Tenemos que, realizando la factorización de la expresión dada por vamos a obtener como resultado . Algebra Factor 3x^2-11x-4 3x2 − 11x − 4 3 x 2 - 11 x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−4 = −12 a ⋅ c = 3 ⋅ - 4 = - 12 and whose sum is b = −11 b = - 11. verified. Step 1: Enter the expression you want to factor in the editor. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess GCD of x^4+2x^3-9x^2+46x-16 with x^4-8x^3+25x^2-46x+16; quotient of x^3-8x^2+17x-6 with x-3; remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools. 3x^{2}-11x=-4 . 4/3 (More) The solution for the equation 2x^2 - x = 21 is {-3, 7/2}. Step 2: Change the sign of a number in the divisor and write it on the left side. a+b=-11 ab=3\left(-4\right)=-12 . The sum of the diamond problem is -11x. I quite like the Euclidean algorithm. Click here 👆 to get an answer to your question ️ Using the quadratic equation to solve 3x^2+11x-4=0, the value of b^2-4ac is -26 73 169. The last term, "the constant", is -4. Steps Using the Quadratic Formula. quadratic-equation-calculator. Q3.586 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 + 11x) - 25 = 0 Step 2 :Trying 5x2+11x-2=0 Two solutions were found : x = (-11-√161)/10=-2. Use the quadratic formula to find the solutions. What is the remainder of 2x^2+7x -39/x-7. a+b=11 ab=3\left(-4\right)=-12 . Get help on the web or with our math app. View solution steps. Verified by Toppr. View Solution. 3x 2 - 11x + 6 = 0. 3x+1 = 0. ∫ 01 xe−x2dx. Parabola, Finding the Vertex : 4.1 Factoring x2-11x+24 The first term is, x2 its 5x2-11x+2=0 Two solutions were found : x = 1/5 = 0. Factor 3x^2-11x+6. Search for an answer or ask Weegy. 3x² − 11x + 14x=0.00/month. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Divide 3x2 − 11x − 4 by x − 4. Log in for more information. Procedimiento para factorizar la expresión. The factors of √ 3 x 2 + 11 x + 6 Find the roots of the quadratic equation 3x^2 + 11x + 10 = 0 by method of - completing the Square. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−20 = −60 a ⋅ c = 3 ⋅ - 20 = - 60 and whose sum is b = −11 b = - 11. [1] There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. report flag outlined. Copy. x2+11x-210=0 Two solutions were found : x = 10 x = -21 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. Now the clever bit: Take the coefficient of x , which is 11/3 , divide by two, giving 11/6 , and finally square it Find the Roots (Zeros) 3x^2+11x-4=0. 3x2 + 11x - 4 = 0. The sum of the polynomials is simply the result of clearing the brackets, grouping like terms and simplifying the terms.1 Find the Vertex of y = 3x 2 +11x-4 Parabolas have a highest or a lowest point called the Vertex .4. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -4 and q divides the leading coefficient 2. ALJABAR Kelas 9 SMP. x-4=0 can be solved by adding 4 on both sides resulting in x=4. According to the Quadratic Formula, x , the solution for Ax 2 +Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by : How do you solve using the completing the square method #3x^2 + 11x - 4 = 0#? Algebra Quadratic Equations and Functions Completing the Square. Detailed step by step solution for 5x^2-11x+4=0.1. Q5. Solve by Factoring 3x^2-11x+6=0. 3x+1=0 requires two steps. en. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Solve quadratic equations step-by-step.x rof evloS . Share. If x = -3, then x^2 - 7x + 10 equals User: Solve 7x - 4 = 5x + 15 for x.956 x = (13+√509)/10= 3. Solve 3x^2+11x-4 | Microsoft Math Solver Solve Factor Solution Steps Steps Using the Quadratic Formula Steps Using Direct Factoring Method View solution steps Evaluate … Solving 3x 2 +11x-4 = 0 directly . heart. x = -1/3. Now to solve for x. Share. ⇒ 3x2 −11x −4 ≤ 0. 1)sum of zeros = 1/3-4= -11/4 = -b/a . What is the remainder of 2x^2+7x -39/x-7. →x=1/3 or , -4 .2. The marked price is 10% higher than cost price. The answer is (3x - 1) and (x + 4). This answer has been confirmed as correct and helpful. 3x - 1 = 0 and x + 4 = 0.(2) Substitute equation (1) in (2)-4-14x= 3x² − 11x − 4. Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6). verified. La ecuación factorizada: (x+4)(3x-1) Explicación paso a paso: Publicidad Publicidad Nuevas preguntas de Matemáticas. Share. Jonathan and his sister Jennifer have a combined age of 48. Get step-by-step answers and hints for your math homework problems. Weegy: 3x + 5 -6/-3 x > 2 (More) 2. The function will become 3x²-11x-4 = 0. Steps for Completing the Square. . 3x2 + 2 = 11 − x2 3 x 2 + 2 = 11 - x 2. en. View Solution. If Jonathan is twice as old as his 3x2+11x-25=0 Two solutions were found : x = (-11-√421)/6=-5. An example with three indeterminates is x³ + 2xyz² − yz + 1. heart.1 Factoring x2-11x-40 The first term is, x2 its coefficient is 3x2-11x-4=0 Two solutions were found : x = -1/3 = -0. 3x2 + 11x = 4.-1/3, 4 is the solution set of. In other words, we are going to solve as many equations as there are terms in the product. heart outlined. Solve an equation, inequality or a system. Tap for more steps The value of ( 1 5) + [ 1 1 4 − 1 2] × ( 2 5) lies between: Q2. 6. 3x−1 = 0 3 x - 1 = 0 x+4 = 0 x + 4 = 0 Solve Solve for x x = −4 x = 31 ≈ 0. If a, b and c are the roots of the polynomial 3x³ + 11x - 22 and sum of the roots is 0, then find the value of a³ + b³ + c³. Solve your math problems using our free math solver with step-by-step solutions. profile. -1 B. There are no new answers. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess GCD of x^4+2x^3-9x^2+46x-16 with x^4-8x^3+25x^2-46x+16; quotient of x^3-8x^2+17x-6 with x-3; remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools. Factoring is the process Read More. The product of the diamond problem is -12x^2. Save to Notebook! Sign in. Solve. heart outlined. Parabola, Finding the Vertex : 4. Multiply the constant 4 by 6x^2. Solve : 3x-1 = 0 Add 1 to both sides of the equation : 3x = 1 Divide both sides of the equation by 3: x = 1/3 = 0. Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6). We need to solve both. Solve : 3 x 2 + 11 x + 10 = 0. Earlier we factored this polynomial by splitting the middle term. si mus esohw dna si tcudorp esohw smret owt fo mus a sa mret elddim eht etirwer , mrof eht fo laimonylop a roF . en.2) = 2 − 0. Find the Roots (Zeros) f (x)=3x^4-11x^3-x^2+19x+6. Find the polynomial. An example of a polynomial of a single indeterminate x is x² − 4x + 7. Q3. When we have this option, we have to do it both ways and see the different outcomes- we need both outcomes for a complete answer. Divide each term in 3x2 + 11x = 4 by 3 and simplify. 14x + y = −4.) 3x^2 - 11x - 4 = 0 Step-by-step explanation: Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Tap for more steps 3x2 − 2x−9x+6 3 x 2 - 2 x - 9 x + 6. X^4-11x^2+28 B. x = 4. Therefore, Similar Questions. Copied to clipboard. Tap for more steps Step 1. Solve 3x^2+11x+10=0 | Microsoft Math Solver. To solve the equation for different variables step-by-step clear any fractions by multiplying both sides of the equation by the LCM of the denominators. x (3x - 1) + 4 (3x - 1) = 0 (3x - 1) (x + 4) = 0. Substitute the values a = 4 a = 4, b = 0 b x2-11x+9=0 Two solutions were found : x = (11-√85)/2= 0. Factor 3x^2-11x-20. 3x2 − 11x + 6 3 x 2 - 11 x + 6. Divide each term in 3x = 9 3 x = 9 by 3 3 and simplify. x + 4 = 0 → x = −4. This answer has been confirmed as correct and helpful. It is pretty strait forward if you Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics. 4.