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Simplifying 3m(m + -4) = -12 Reorder the terms: 3m(-4 + m) = -12 (-4 * 3m + m * 3m) = -12 (-12m + 3m2) = -12 Solving -12m + 3m2 = -12 Solving for variable 'm'. Reorder the terms: 12 + -12m + 3m2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -12m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -4m + m2) = 0 Factor a trinomial. 3((2 + -1m)(2 + -1m)) = 0 Ignore the factor 3.Subproblem 1
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 = 2Subproblem 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 = {2, 2}
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