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Simplifying 2m2 = -2m + 12 Reorder the terms: 2m2 = 12 + -2m Solving 2m2 = 12 + -2m Solving for variable 'm'. Reorder the terms: -12 + 2m + 2m2 = 12 + -2m + -12 + 2m Reorder the terms: -12 + 2m + 2m2 = 12 + -12 + -2m + 2m Combine like terms: 12 + -12 = 0 -12 + 2m + 2m2 = 0 + -2m + 2m -12 + 2m + 2m2 = -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 2m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + m + m2) = 0 Factor a trinomial. 2((-3 + -1m)(2 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-3, 2}
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