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Simplifying 5m2 + -42m + -80 = 0 Reorder the terms: -80 + -42m + 5m2 = 0 Solving -80 + -42m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -5m)(10 + -1m) = 0Subproblem 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 '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10Solution
m = {-1.6, 10}
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