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Simplifying 15m2 + -80m = -25 Reorder the terms: -80m + 15m2 = -25 Solving -80m + 15m2 = -25 Solving for variable 'm'. Reorder the terms: 25 + -80m + 15m2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -80m + 15m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -16m + 3m2) = 0 Factor a trinomial. 5((1 + -3m)(5 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {0.3333333333, 5}
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