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Simplifying 4m(3m + 2) + -3m(4 + -5m) = 0 Reorder the terms: 4m(2 + 3m) + -3m(4 + -5m) = 0 (2 * 4m + 3m * 4m) + -3m(4 + -5m) = 0 (8m + 12m2) + -3m(4 + -5m) = 0 8m + 12m2 + (4 * -3m + -5m * -3m) = 0 8m + 12m2 + (-12m + 15m2) = 0 Reorder the terms: 8m + -12m + 12m2 + 15m2 = 0 Combine like terms: 8m + -12m = -4m -4m + 12m2 + 15m2 = 0 Combine like terms: 12m2 + 15m2 = 27m2 -4m + 27m2 = 0 Solving -4m + 27m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-4 + 27m) = 0Subproblem 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 '(-4 + 27m)' equal to zero and attempt to solve: Simplifying -4 + 27m = 0 Solving -4 + 27m = 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 + 27m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 27m = 0 + 4 27m = 0 + 4 Combine like terms: 0 + 4 = 4 27m = 4 Divide each side by '27'. m = 0.1481481481 Simplifying m = 0.1481481481Solution
m = {0, 0.1481481481}
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