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Simplifying -20 = 8m2 + 37m Reorder the terms: -20 = 37m + 8m2 Solving -20 = 37m + 8m2 Solving for variable 'm'. Reorder the terms: -20 + -37m + -8m2 = 37m + -37m + 8m2 + -8m2 Combine like terms: 37m + -37m = 0 -20 + -37m + -8m2 = 0 + 8m2 + -8m2 -20 + -37m + -8m2 = 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 -20 + -37m + -8m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 37m + 8m2) = 0 Factor a trinomial. -1((4 + m)(5 + 8m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(5 + 8m)' equal to zero and attempt to solve: Simplifying 5 + 8m = 0 Solving 5 + 8m = 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 + 8m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8m = 0 + -5 8m = 0 + -5 Combine like terms: 0 + -5 = -5 8m = -5 Divide each side by '8'. m = -0.625 Simplifying m = -0.625Solution
m = {-4, -0.625}
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