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Simplifying 18m2 + -77m + -18 = 0 Reorder the terms: -18 + -77m + 18m2 = 0 Solving -18 + -77m + 18m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -9m)(9 + -2m) = 0Subproblem 1
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 = -0.2222222222Subproblem 2
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 = 4.5Solution
m = {-0.2222222222, 4.5}
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