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Simplifying 72m2 + -17m + -72 = 0 Reorder the terms: -72 + -17m + 72m2 = 0 Solving -72 + -17m + 72m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -9m)(9 + -8m) = 0Subproblem 1
Set the factor '(-8 + -9m)' equal to zero and attempt to solve: Simplifying -8 + -9m = 0 Solving -8 + -9m = 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 + -9m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9m = 0 + 8 -9m = 0 + 8 Combine like terms: 0 + 8 = 8 -9m = 8 Divide each side by '-9'. m = -0.8888888889 Simplifying m = -0.8888888889Subproblem 2
Set the factor '(9 + -8m)' equal to zero and attempt to solve: Simplifying 9 + -8m = 0 Solving 9 + -8m = 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 + -8m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8m = 0 + -9 -8m = 0 + -9 Combine like terms: 0 + -9 = -9 -8m = -9 Divide each side by '-8'. m = 1.125 Simplifying m = 1.125Solution
m = {-0.8888888889, 1.125}
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