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Simplifying m3 = m2 + 12m Reorder the terms: m3 = 12m + m2 Solving m3 = 12m + m2 Solving for variable 'm'. Reorder the terms: -12m + -1m2 + m3 = 12m + m2 + -12m + -1m2 Reorder the terms: -12m + -1m2 + m3 = 12m + -12m + m2 + -1m2 Combine like terms: 12m + -12m = 0 -12m + -1m2 + m3 = 0 + m2 + -1m2 -12m + -1m2 + m3 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -12m + -1m2 + m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-12 + -1m + m2) = 0 Factor a trinomial. m((-3 + -1m)(4 + -1m)) = 0Subproblem 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 '(-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 3
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 = 4Solution
m = {0, -3, 4}
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