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Simplifying 2m2 + -5m2 + -12m = 0 Reorder the terms: -12m + 2m2 + -5m2 = 0 Combine like terms: 2m2 + -5m2 = -3m2 -12m + -3m2 = 0 Solving -12m + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-3m'. -3m(4 + 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 + 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 = -4Solution
m = {0, -4}
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