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Simplifying 15m2 + 62m = -40 Reorder the terms: 62m + 15m2 = -40 Solving 62m + 15m2 = -40 Solving for variable 'm'. Reorder the terms: 40 + 62m + 15m2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 62m + 15m2 = 0 Factor a trinomial. (10 + 3m)(4 + 5m) = 0Subproblem 1
Set the factor '(10 + 3m)' equal to zero and attempt to solve: Simplifying 10 + 3m = 0 Solving 10 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = 0 + -10 3m = 0 + -10 Combine like terms: 0 + -10 = -10 3m = -10 Divide each side by '3'. m = -3.333333333 Simplifying m = -3.333333333Subproblem 2
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 = -0.8Solution
m = {-3.333333333, -0.8}
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