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Simplifying -15 = 5m2 + 28m Reorder the terms: -15 = 28m + 5m2 Solving -15 = 28m + 5m2 Solving for variable 'm'. Reorder the terms: -15 + -28m + -5m2 = 28m + -28m + 5m2 + -5m2 Combine like terms: 28m + -28m = 0 -15 + -28m + -5m2 = 0 + 5m2 + -5m2 -15 + -28m + -5m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 -15 + -28m + -5m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 28m + 5m2) = 0 Factor a trinomial. -1((5 + m)(3 + 5m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 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 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Solution
m = {-5, -0.6}
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