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Simplifying 12m2 + 40m = 0 Reorder the terms: 40m + 12m2 = 0 Solving 40m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(10 + 3m) = 0 Ignore the factor 4.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 '(10 + 3m)' equal to zero and attempt to solve: Simplifying 10 + 3m = 0 Solving 10 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = 0 + -10 3m = 0 + -10 Combine like terms: 0 + -10 = -10 3m = -10 Divide each side by '3'. m = -3.333333333 Simplifying m = -3.333333333Solution
m = {0, -3.333333333}
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