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Simplifying 5m2 + 31m + -72 = 0 Reorder the terms: -72 + 31m + 5m2 = 0 Solving -72 + 31m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(9 + -5m) = 0Subproblem 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 '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Solution
m = {-8, 1.8}
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