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Simplifying 2m2 + -7m + -72 = 0 Reorder the terms: -72 + -7m + 2m2 = 0 Solving -72 + -7m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -2m)(8 + -1m) = 0Subproblem 1
Set the factor '(-9 + -2m)' equal to zero and attempt to solve: Simplifying -9 + -2m = 0 Solving -9 + -2m = 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 + -2m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2m = 0 + 9 -2m = 0 + 9 Combine like terms: 0 + 9 = 9 -2m = 9 Divide each side by '-2'. m = -4.5 Simplifying m = -4.5Subproblem 2
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 = 8Solution
m = {-4.5, 8}
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