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Simplifying 15m2 = 117m + -84 Reorder the terms: 15m2 = -84 + 117m Solving 15m2 = -84 + 117m Solving for variable 'm'. Reorder the terms: 84 + -117m + 15m2 = -84 + 117m + 84 + -117m Reorder the terms: 84 + -117m + 15m2 = -84 + 84 + 117m + -117m Combine like terms: -84 + 84 = 0 84 + -117m + 15m2 = 0 + 117m + -117m 84 + -117m + 15m2 = 117m + -117m Combine like terms: 117m + -117m = 0 84 + -117m + 15m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(28 + -39m + 5m2) = 0 Factor a trinomial. 3((4 + -5m)(7 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 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 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {0.8, 7}
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