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Simplifying 2m(4 + -3m) = 0 (4 * 2m + -3m * 2m) = 0 (8m + -6m^{2}) = 0 Solving 8m + -6m^{2}= 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(4 + -3m) = 0 Ignore the factor 2.## 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 = 0## Subproblem 2

Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333## Solution

m = {0, 1.333333333}

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