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Simplifying 0 = x2 + -4x + -117 Reorder the terms: 0 = -117 + -4x + x2 Solving 0 = -117 + -4x + x2 Solving for variable 'x'. Combine like terms: 0 + 117 = 117 117 + 4x + -1x2 = -117 + -4x + x2 + 117 + 4x + -1x2 Reorder the terms: 117 + 4x + -1x2 = -117 + 117 + -4x + 4x + x2 + -1x2 Combine like terms: -117 + 117 = 0 117 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 117 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 117 + 4x + -1x2 = 0 + x2 + -1x2 117 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 117 + 4x + -1x2 = 0 Factor a trinomial. (13 + -1x)(9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {13, -9}
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