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Simplifying 2m2 + 12m + -2160 = 0 Reorder the terms: -2160 + 12m + 2m2 = 0 Solving -2160 + 12m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1080 + 6m + m2) = 0 Factor a trinomial. 2((-36 + -1m)(30 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-36 + -1m)' equal to zero and attempt to solve: Simplifying -36 + -1m = 0 Solving -36 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1m = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1m = 0 + 36 -1m = 0 + 36 Combine like terms: 0 + 36 = 36 -1m = 36 Divide each side by '-1'. m = -36 Simplifying m = -36Subproblem 2
Set the factor '(30 + -1m)' equal to zero and attempt to solve: Simplifying 30 + -1m = 0 Solving 30 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1m = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1m = 0 + -30 -1m = 0 + -30 Combine like terms: 0 + -30 = -30 -1m = -30 Divide each side by '-1'. m = 30 Simplifying m = 30Solution
m = {-36, 30}
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