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Simplifying 3m + 13m2 + 2m + -3m2 = 0 Reorder the terms: 3m + 2m + 13m2 + -3m2 = 0 Combine like terms: 3m + 2m = 5m 5m + 13m2 + -3m2 = 0 Combine like terms: 13m2 + -3m2 = 10m2 5m + 10m2 = 0 Solving 5m + 10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(1 + 2m) = 0 Ignore the factor 5.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 '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {0, -0.5}
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