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Simplifying 234 = (2x + -8) * x Reorder the terms: 234 = (-8 + 2x) * x Reorder the terms for easier multiplication: 234 = x(-8 + 2x) 234 = (-8 * x + 2x * x) 234 = (-8x + 2x2) Solving 234 = -8x + 2x2 Solving for variable 'x'. Reorder the terms: 234 + 8x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 234 + 8x + -2x2 = 0 + 2x2 + -2x2 234 + 8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 234 + 8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(117 + 4x + -1x2) = 0 Factor a trinomial. 2((13 + -1x)(9 + x)) = 0 Ignore the factor 2.Subproblem 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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