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Simplifying 5m2 + -20m + -65 = -5 Reorder the terms: -65 + -20m + 5m2 = -5 Solving -65 + -20m + 5m2 = -5 Solving for variable 'm'. Reorder the terms: -65 + 5 + -20m + 5m2 = -5 + 5 Combine like terms: -65 + 5 = -60 -60 + -20m + 5m2 = -5 + 5 Combine like terms: -5 + 5 = 0 -60 + -20m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + -4m + m2) = 0 Factor a trinomial. 5((-2 + -1m)(6 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-2, 6}
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