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Simplifying -15 = 4m2 + 17m Reorder the terms: -15 = 17m + 4m2 Solving -15 = 17m + 4m2 Solving for variable 'm'. Reorder the terms: -15 + -17m + -4m2 = 17m + -17m + 4m2 + -4m2 Combine like terms: 17m + -17m = 0 -15 + -17m + -4m2 = 0 + 4m2 + -4m2 -15 + -17m + -4m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 -15 + -17m + -4m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 17m + 4m2) = 0 Factor a trinomial. -1((3 + m)(5 + 4m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(5 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 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 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Solution
m = {-3, -1.25}
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