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Simplifying 90m2 + -137m + -45 = 0 Reorder the terms: -45 + -137m + 90m2 = 0 Solving -45 + -137m + 90m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -18m)(9 + -5m) = 0Subproblem 1
Set the factor '(-5 + -18m)' equal to zero and attempt to solve: Simplifying -5 + -18m = 0 Solving -5 + -18m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -18m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -18m = 0 + 5 -18m = 0 + 5 Combine like terms: 0 + 5 = 5 -18m = 5 Divide each side by '-18'. m = -0.2777777778 Simplifying m = -0.2777777778Subproblem 2
Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 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 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Solution
m = {-0.2777777778, 1.8}
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