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Simplifying 2m(4m + -3) = 0 Reorder the terms: 2m(-3 + 4m) = 0 (-3 * 2m + 4m * 2m) = 0 (-6m + 8m2) = 0 Solving -6m + 8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-3 + 4m) = 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 = 0Subproblem 2
Set the factor '(-3 + 4m)' equal to zero and attempt to solve: Simplifying -3 + 4m = 0 Solving -3 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4m = 0 + 3 4m = 0 + 3 Combine like terms: 0 + 3 = 3 4m = 3 Divide each side by '4'. m = 0.75 Simplifying m = 0.75Solution
m = {0, 0.75}
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