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Simplifying 3m(m + -5) = 8m2 + -16m Reorder the terms: 3m(-5 + m) = 8m2 + -16m (-5 * 3m + m * 3m) = 8m2 + -16m (-15m + 3m2) = 8m2 + -16m Reorder the terms: -15m + 3m2 = -16m + 8m2 Solving -15m + 3m2 = -16m + 8m2 Solving for variable 'm'. Reorder the terms: -15m + 16m + 3m2 + -8m2 = -16m + 8m2 + 16m + -8m2 Combine like terms: -15m + 16m = 1m 1m + 3m2 + -8m2 = -16m + 8m2 + 16m + -8m2 Combine like terms: 3m2 + -8m2 = -5m2 1m + -5m2 = -16m + 8m2 + 16m + -8m2 Reorder the terms: 1m + -5m2 = -16m + 16m + 8m2 + -8m2 Combine like terms: -16m + 16m = 0 1m + -5m2 = 0 + 8m2 + -8m2 1m + -5m2 = 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 1m + -5m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(1 + -5m) = 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 '(1 + -5m)' equal to zero and attempt to solve: Simplifying 1 + -5m = 0 Solving 1 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 0 + -1 -5m = 0 + -1 Combine like terms: 0 + -1 = -1 -5m = -1 Divide each side by '-5'. m = 0.2 Simplifying m = 0.2Solution
m = {0, 0.2}
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