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Simplifying 5m2 + -9m + -72 = 0 Reorder the terms: -72 + -9m + 5m2 = 0 Solving -72 + -9m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -1m)(24 + -5m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(24 + -5m)' equal to zero and attempt to solve: Simplifying 24 + -5m = 0 Solving 24 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 0 + -24 -5m = 0 + -24 Combine like terms: 0 + -24 = -24 -5m = -24 Divide each side by '-5'. m = 4.8 Simplifying m = 4.8Solution
m = {-3, 4.8}
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