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Simplifying 12m3 + -4m2 = 0 Reorder the terms: -4m2 + 12m3 = 0 Solving -4m2 + 12m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m2'. 4m2(-1 + 3m) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-1 + 3m)' equal to zero and attempt to solve: Simplifying -1 + 3m = 0 Solving -1 + 3m = 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 + 3m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 0 + 1 3m = 0 + 1 Combine like terms: 0 + 1 = 1 3m = 1 Divide each side by '3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {0, 0.3333333333}
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