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Simplifying x2 + -2x + 3x + -27 = 129 Reorder the terms: -27 + -2x + 3x + x2 = 129 Combine like terms: -2x + 3x = 1x -27 + 1x + x2 = 129 Solving -27 + 1x + x2 = 129 Solving for variable 'x'. Reorder the terms: -27 + -129 + 1x + x2 = 129 + -129 Combine like terms: -27 + -129 = -156 -156 + 1x + x2 = 129 + -129 Combine like terms: 129 + -129 = 0 -156 + 1x + x2 = 0 Factor a trinomial. (-13 + -1x)(12 + -1x) = 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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-13, 12}
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