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Simplifying 126 = (x + 2)(2x) Reorder the terms: 126 = (2 + x)(2x) Remove parenthesis around (2x) 126 = (2 + x) * 2x Reorder the terms for easier multiplication: 126 = 2x(2 + x) 126 = (2 * 2x + x * 2x) 126 = (4x + 2x2) Solving 126 = 4x + 2x2 Solving for variable 'x'. Reorder the terms: 126 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 126 + -4x + -2x2 = 0 + 2x2 + -2x2 126 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 126 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + -2x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(9 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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 = {7, -9}
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