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Simplifying 6m(2m + 9) + 5m(1 + -3m) = 0 Reorder the terms: 6m(9 + 2m) + 5m(1 + -3m) = 0 (9 * 6m + 2m * 6m) + 5m(1 + -3m) = 0 (54m + 12m2) + 5m(1 + -3m) = 0 54m + 12m2 + (1 * 5m + -3m * 5m) = 0 54m + 12m2 + (5m + -15m2) = 0 Reorder the terms: 54m + 5m + 12m2 + -15m2 = 0 Combine like terms: 54m + 5m = 59m 59m + 12m2 + -15m2 = 0 Combine like terms: 12m2 + -15m2 = -3m2 59m + -3m2 = 0 Solving 59m + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(59 + -3m) = 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 '(59 + -3m)' equal to zero and attempt to solve: Simplifying 59 + -3m = 0 Solving 59 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -3m = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -3m = 0 + -59 -3m = 0 + -59 Combine like terms: 0 + -59 = -59 -3m = -59 Divide each side by '-3'. m = 19.66666667 Simplifying m = 19.66666667Solution
m = {0, 19.66666667}
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