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Simplifying 60m2 + -4m + -160 = 0 Reorder the terms: -160 + -4m + 60m2 = 0 Solving -160 + -4m + 60m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-40 + -1m + 15m2) = 0 Factor a trinomial. 4((-8 + -5m)(5 + -3m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + -5m)' equal to zero and attempt to solve: Simplifying -8 + -5m = 0 Solving -8 + -5m = 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 + -5m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5m = 0 + 8 -5m = 0 + 8 Combine like terms: 0 + 8 = 8 -5m = 8 Divide each side by '-5'. m = -1.6 Simplifying m = -1.6Subproblem 2
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 = 1.666666667Solution
m = {-1.6, 1.666666667}
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