Solve the quadratic by factoring. 4x^(2)-13 x+11=-5x+8 Answer: x=

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Solve the quadratic by factoring.  4x^(2)-13 x+11=-5x+8 Answer:  x=

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Move to Standard Form: Write the equation in standard form by moving all terms to one side of the equation. 4x^2 - 13x + 11 = -5x + 8 Add 5x to both sides and subtract 8 from both sides to get: 4x^2 - 13x + 5x + 11 - 8 = 0 Combine like terms: 4x^2 - 8x + 3 = 0Identify Coefficients: Identify a, b, and c in the quadratic equation ax^2 + bx + c = 0. For the equation 4x^2 - 8x + 3 = 0: a = 4 b = -8 c = 3Find Multiplying Numbers: Find two numbers that multiply to a*c (4*3 = 12) and add up to b (-8). The two numbers that fit this requirement are -6 and -2 because: -6 * -2 = 12 -6 + -2 = -8Split Middle Term: Rewrite the equation by splitting the middle term using the two numbers found in Step 3. 4x^2 - 6x - 2x + 3 = 0 Group the terms: (4x^2 - 6x) + (-2x + 3) = 0Factor by Grouping: Factor by grouping. From the first group (4x^2 - 6x), factor out the greatest common factor, which is 2x: 2x(2x - 3) From the second group (-2x + 3), factor out -1: -1(2x - 3) Now we have: 2x(2x - 3) - 1(2x - 3) = 0Factor Common Binomial: Factor out the common binomial factor (2x - 3). (2x - 1)(2x - 3) = 0Set Equal and Solve: Set each factor equal to zero and solve for x. 2x - 1 = 0 or 2x - 3 = 0 For 2x - 1 = 0: 2x = 1 x = 1/2 For 2x - 3 = 0: 2x = 3 x = 3/2

Solve the quadratic by factoring. $\newline$ $4 x^{2}-13 x+11=-5 x+8$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline4x2−13x+11=−5x+8 4 x^{2}-13 x+11=-5 x+8 4x2−13x+11=−5x+8\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $4 x^{2}-13 x+11=-5 x+8$ $\newline$ Answer: $x=$