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Simplifying x(2x + -8) = 234 Reorder the terms: x(-8 + 2x) = 234 (-8 * x + 2x * x) = 234 (-8x + 2x2) = 234 Solving -8x + 2x2 = 234 Solving for variable 'x'. Reorder the terms: -234 + -8x + 2x2 = 234 + -234 Combine like terms: 234 + -234 = 0 -234 + -8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-117 + -4x + x2) = 0 Factor a trinomial. 2((-9 + -1x)(13 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
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 = 13Solution
x = {-9, 13}
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