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Simplifying 15m2 + 31m + 2 = -8 Reorder the terms: 2 + 31m + 15m2 = -8 Solving 2 + 31m + 15m2 = -8 Solving for variable 'm'. Reorder the terms: 2 + 8 + 31m + 15m2 = -8 + 8 Combine like terms: 2 + 8 = 10 10 + 31m + 15m2 = -8 + 8 Combine like terms: -8 + 8 = 0 10 + 31m + 15m2 = 0 Factor a trinomial. (5 + 3m)(2 + 5m) = 0Subproblem 1
Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 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 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {-1.666666667, -0.4}
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