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Simplifying 36m2 + 316m + -72 = 0 Reorder the terms: -72 + 316m + 36m2 = 0 Solving -72 + 316m + 36m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + 79m + 9m2) = 0 Factor a trinomial. 4((-9 + -1m)(2 + -9m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 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 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 2
Set the factor '(2 + -9m)' equal to zero and attempt to solve: Simplifying 2 + -9m = 0 Solving 2 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9m = 0 + -2 -9m = 0 + -2 Combine like terms: 0 + -2 = -2 -9m = -2 Divide each side by '-9'. m = 0.2222222222 Simplifying m = 0.2222222222Solution
m = {-9, 0.2222222222}
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