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Simplifying 15m2 = 76m + -5 Reorder the terms: 15m2 = -5 + 76m Solving 15m2 = -5 + 76m Solving for variable 'm'. Reorder the terms: 5 + -76m + 15m2 = -5 + 76m + 5 + -76m Reorder the terms: 5 + -76m + 15m2 = -5 + 5 + 76m + -76m Combine like terms: -5 + 5 = 0 5 + -76m + 15m2 = 0 + 76m + -76m 5 + -76m + 15m2 = 76m + -76m Combine like terms: 76m + -76m = 0 5 + -76m + 15m2 = 0 Factor a trinomial. (1 + -15m)(5 + -1m) = 0Subproblem 1
Set the factor '(1 + -15m)' equal to zero and attempt to solve: Simplifying 1 + -15m = 0 Solving 1 + -15m = 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 + -15m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15m = 0 + -1 -15m = 0 + -1 Combine like terms: 0 + -1 = -1 -15m = -1 Divide each side by '-15'. m = 0.06666666667 Simplifying m = 0.06666666667Subproblem 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 = {0.06666666667, 5}
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