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Simplifying 0 = 3m(2m + -1) Reorder the terms: 0 = 3m(-1 + 2m) 0 = (-1 * 3m + 2m * 3m) 0 = (-3m + 6m2) Solving 0 = -3m + 6m2 Solving for variable 'm'. Remove the zero: 3m + -6m2 = -3m + 6m2 + 3m + -6m2 Reorder the terms: 3m + -6m2 = -3m + 3m + 6m2 + -6m2 Combine like terms: -3m + 3m = 0 3m + -6m2 = 0 + 6m2 + -6m2 3m + -6m2 = 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 3m + -6m2 = 0 Factor out the Greatest Common Factor (GCF), '3m'. 3m(1 + -2m) = 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 + -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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