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Simplifying 12m2 = 3m Solving 12m2 = 3m Solving for variable 'm'. Reorder the terms: -3m + 12m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -3m + 12m2 = 0 Factor out the Greatest Common Factor (GCF), '3m'. 3m(-1 + 4m) = 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 '(-1 + 4m)' equal to zero and attempt to solve: Simplifying -1 + 4m = 0 Solving -1 + 4m = 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 + 4m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4m = 0 + 1 4m = 0 + 1 Combine like terms: 0 + 1 = 1 4m = 1 Divide each side by '4'. m = 0.25 Simplifying m = 0.25Solution
m = {0, 0.25}
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