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Simplifying 0 = x2 + -1x + -156 Reorder the terms: 0 = -156 + -1x + x2 Solving 0 = -156 + -1x + x2 Solving for variable 'x'. Combine like terms: 0 + 156 = 156 156 + x + -1x2 = -156 + -1x + x2 + 156 + x + -1x2 Reorder the terms: 156 + x + -1x2 = -156 + 156 + -1x + x + x2 + -1x2 Combine like terms: -156 + 156 = 0 156 + x + -1x2 = 0 + -1x + x + x2 + -1x2 156 + x + -1x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 156 + x + -1x2 = 0 + x2 + -1x2 156 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 156 + x + -1x2 = 0 Factor a trinomial. (13 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {13, -12}
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