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Simplifying 2m2 = -31m Solving 2m2 = -31m Solving for variable 'm'. Reorder the terms: 31m + 2m2 = -31m + 31m Combine like terms: -31m + 31m = 0 31m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(31 + 2m) = 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 '(31 + 2m)' equal to zero and attempt to solve: Simplifying 31 + 2m = 0 Solving 31 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 2m = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2m = 0 + -31 2m = 0 + -31 Combine like terms: 0 + -31 = -31 2m = -31 Divide each side by '2'. m = -15.5 Simplifying m = -15.5Solution
m = {0, -15.5}
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