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Simplifying -3m3 + 3m2 = -36m Reorder the terms: 3m2 + -3m3 = -36m Solving 3m2 + -3m3 = -36m Solving for variable 'm'. Reorder the terms: 36m + 3m2 + -3m3 = -36m + 36m Combine like terms: -36m + 36m = 0 36m + 3m2 + -3m3 = 0 Factor out the Greatest Common Factor (GCF), '3m'. 3m(12 + m + -1m2) = 0 Factor a trinomial. 3m((4 + -1m)(3 + m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 3
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {0, 4, -3}
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