Solve the quadratic by factoring. 3x^(2)-11 x-6=-4x Answer: x=

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Solve the quadratic by factoring.  3x^(2)-11 x-6=-4x Answer:  x=

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Move Terms to One Side: Move all terms to one side of the equation to set the equation to zero. 3x^2 - 11x - 6 = -4x becomes 3x^2 - 11x + 4x - 6 = 0, which simplifies to 3x^2 - 7x - 6 = 0.Identify Coefficients: Identify a, b, and c in the quadratic equation 3x^2 - 7x - 6. a = 3, b = -7, c = -6.Find Multiplying Numbers: Find two numbers that multiply to a*c (3*-6 = -18) and add up to b (-7). The numbers -9 and 2 multiply to -18 and add up to -7.Split Middle Term: Rewrite the quadratic equation by splitting the middle term using the numbers found in Step 3. 3x^2 - 9x + 2x - 6 = 0.Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms: (3x^2 - 9x) + (2x - 6) = 0. Factor out the common factors: 3x(x - 3) + 2(x - 3) = 0.Factor Common Binomial: Factor out the common binomial factor (x - 3). (3x + 2)(x - 3) = 0.Set Factors Equal: Set each factor equal to zero and solve for x. 3x + 2 = 0 or x - 3 = 0. For 3x + 2 = 0, x = -2/3. For x - 3 = 0, x = 3.

Solve the quadratic by factoring. $\newline$ $3 x^{2}-11 x-6=-4 x$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline3x2−11x−6=−4x 3 x^{2}-11 x-6=-4 x 3x2−11x−6=−4x\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $3 x^{2}-11 x-6=-4 x$ $\newline$ Answer: $x=$