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Simplifying 2m2 + -12m + -54 = 0 Reorder the terms: -54 + -12m + 2m2 = 0 Solving -54 + -12m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -6m + m2) = 0 Factor a trinomial. 2((-3 + -1m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-3, 9}
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