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Simplifying 4m2 + -16 = -12m Reorder the terms: -16 + 4m2 = -12m Solving -16 + 4m2 = -12m Solving for variable 'm'. Reorder the terms: -16 + 12m + 4m2 = -12m + 12m Combine like terms: -12m + 12m = 0 -16 + 12m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + 3m + m2) = 0 Factor a trinomial. 4((-4 + -1m)(1 + -1m)) = 0 Ignore the factor 4.Subproblem 1
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 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-4, 1}
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