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Simplifying 3m2 + 15m = -12 Reorder the terms: 15m + 3m2 = -12 Solving 15m + 3m2 = -12 Solving for variable 'm'. Reorder the terms: 12 + 15m + 3m2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 15m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 5m + m2) = 0 Factor a trinomial. 3((4 + m)(1 + m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {-4, -1}
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