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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((9 + -1x)(13 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {9, -13}
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