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