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Simplifying (x2) + -10x + 25 = 2(x2) + x + -1 x2 + -10x + 25 = 2(x2) + x + -1 Reorder the terms: 25 + -10x + x2 = 2(x2) + x + -1 Reorder the terms: 25 + -10x + x2 = -1 + x + 2x2 Solving 25 + -10x + x2 = -1 + x + 2x2 Solving for variable 'x'. Reorder the terms: 25 + 1 + -10x + -1x + x2 + -2x2 = -1 + x + 2x2 + 1 + -1x + -2x2 Combine like terms: 25 + 1 = 26 26 + -10x + -1x + x2 + -2x2 = -1 + x + 2x2 + 1 + -1x + -2x2 Combine like terms: -10x + -1x = -11x 26 + -11x + x2 + -2x2 = -1 + x + 2x2 + 1 + -1x + -2x2 Combine like terms: x2 + -2x2 = -1x2 26 + -11x + -1x2 = -1 + x + 2x2 + 1 + -1x + -2x2 Reorder the terms: 26 + -11x + -1x2 = -1 + 1 + x + -1x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 26 + -11x + -1x2 = 0 + x + -1x + 2x2 + -2x2 26 + -11x + -1x2 = x + -1x + 2x2 + -2x2 Combine like terms: x + -1x = 0 26 + -11x + -1x2 = 0 + 2x2 + -2x2 26 + -11x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 26 + -11x + -1x2 = 0 Factor a trinomial. (2 + -1x)(13 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {2, -13}
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