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Simplifying 5m2 + -160 = -20m Reorder the terms: -160 + 5m2 = -20m Solving -160 + 5m2 = -20m Solving for variable 'm'. Reorder the terms: -160 + 20m + 5m2 = -20m + 20m Combine like terms: -20m + 20m = 0 -160 + 20m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-32 + 4m + m2) = 0 Factor a trinomial. 5((-8 + -1m)(4 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-8, 4}
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