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Simplifying 9m2 + 52m + -12 = 0 Reorder the terms: -12 + 52m + 9m2 = 0 Solving -12 + 52m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-6 + -1m)(2 + -9m) = 0Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 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 = {-6, 0.2222222222}
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