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Simplifying 2x2 + -2x = 612 Reorder the terms: -2x + 2x2 = 612 Solving -2x + 2x2 = 612 Solving for variable 'x'. Reorder the terms: -612 + -2x + 2x2 = 612 + -612 Combine like terms: 612 + -612 = 0 -612 + -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-306 + -1x + x2) = 0 Factor a trinomial. 2((-17 + -1x)(18 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-17, 18}
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