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Simplifying 15m2 + 24m + 10 = 5 + -4m Reorder the terms: 10 + 24m + 15m2 = 5 + -4m Solving 10 + 24m + 15m2 = 5 + -4m Solving for variable 'm'. Reorder the terms: 10 + -5 + 24m + 4m + 15m2 = 5 + -4m + -5 + 4m Combine like terms: 10 + -5 = 5 5 + 24m + 4m + 15m2 = 5 + -4m + -5 + 4m Combine like terms: 24m + 4m = 28m 5 + 28m + 15m2 = 5 + -4m + -5 + 4m Reorder the terms: 5 + 28m + 15m2 = 5 + -5 + -4m + 4m Combine like terms: 5 + -5 = 0 5 + 28m + 15m2 = 0 + -4m + 4m 5 + 28m + 15m2 = -4m + 4m Combine like terms: -4m + 4m = 0 5 + 28m + 15m2 = 0 Factor a trinomial. (5 + 3m)(1 + 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 '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Solution
m = {-1.666666667, -0.2}
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