Solve the quadratic by factoring. 3x^(2)-11 x=-4x-4 Answer: x=

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Solve the quadratic by factoring.  3x^(2)-11 x=-4x-4 Answer:  x=

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Write Standard Form: Write the quadratic equation in standard form by moving all terms to one side of the equation. Move -4x and -4 to the left side to get 3x^2 - 11x + 4x + 4 = 0. Combine like terms to get 3x^2 - 7x + 4 = 0.Identify Coefficients: Identify a, b, and c in the quadratic equation 3x^2 - 7x + 4. a = 3, b = -7, c = 4.Find Multiplying Numbers: Find two numbers that multiply to a*c (3*4 = 12) and add up to b (-7). The numbers are -3 and -4 because -3 * -4 = 12 and -3 + -4 = -7.Split Middle Term: Rewrite the quadratic equation by splitting the middle term using the two numbers found in Step 3. 3x^2 - 3x - 4x + 4 = 0.Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms: (3x^2 - 3x) - (4x - 4) = 0. Factor out the common factor from each group: 3x(x - 1) - 4(x - 1) = 0.Factor Common Binomial: Factor out the common binomial factor (x - 1). (3x - 4)(x - 1) = 0.Set Factors Equal: Set each factor equal to zero and solve for x. 3x - 4 = 0 or x - 1 = 0. For 3x - 4 = 0, add 4 to both sides to get 3x = 4, then divide by 3 to get x = 4/3. For x - 1 = 0, add 1 to both sides to get x = 1.

Solve the quadratic by factoring. $\newline$ $3 x^{2}-11 x=-4 x-4$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline3x2−11x=−4x−4 3 x^{2}-11 x=-4 x-4 3x2−11x=−4x−4\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $3 x^{2}-11 x=-4 x-4$ $\newline$ Answer: $x=$