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Simplifying 3m(2 + 5m) + -4m(1 + m) = 0 (2 * 3m + 5m * 3m) + -4m(1 + m) = 0 (6m + 15m2) + -4m(1 + m) = 0 6m + 15m2 + (1 * -4m + m * -4m) = 0 6m + 15m2 + (-4m + -4m2) = 0 Reorder the terms: 6m + -4m + 15m2 + -4m2 = 0 Combine like terms: 6m + -4m = 2m 2m + 15m2 + -4m2 = 0 Combine like terms: 15m2 + -4m2 = 11m2 2m + 11m2 = 0 Solving 2m + 11m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(2 + 11m) = 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 '(2 + 11m)' equal to zero and attempt to solve: Simplifying 2 + 11m = 0 Solving 2 + 11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11m = 0 + -2 11m = 0 + -2 Combine like terms: 0 + -2 = -2 11m = -2 Divide each side by '11'. m = -0.1818181818 Simplifying m = -0.1818181818Solution
m = {0, -0.1818181818}
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