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Simplifying 4x2 = 5x2 + -11x + -26 Reorder the terms: 4x2 = -26 + -11x + 5x2 Solving 4x2 = -26 + -11x + 5x2 Solving for variable 'x'. Reorder the terms: 26 + 11x + 4x2 + -5x2 = -26 + -11x + 5x2 + 26 + 11x + -5x2 Combine like terms: 4x2 + -5x2 = -1x2 26 + 11x + -1x2 = -26 + -11x + 5x2 + 26 + 11x + -5x2 Reorder the terms: 26 + 11x + -1x2 = -26 + 26 + -11x + 11x + 5x2 + -5x2 Combine like terms: -26 + 26 = 0 26 + 11x + -1x2 = 0 + -11x + 11x + 5x2 + -5x2 26 + 11x + -1x2 = -11x + 11x + 5x2 + -5x2 Combine like terms: -11x + 11x = 0 26 + 11x + -1x2 = 0 + 5x2 + -5x2 26 + 11x + -1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 26 + 11x + -1x2 = 0 Factor a trinomial. (13 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {13, -2}
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