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Simplifying 36m2 + -65m + -36 = 0 Reorder the terms: -36 + -65m + 36m2 = 0 Solving -36 + -65m + 36m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -9m)(9 + -4m) = 0Subproblem 1
Set the factor '(-4 + -9m)' equal to zero and attempt to solve: Simplifying -4 + -9m = 0 Solving -4 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9m = 0 + 4 -9m = 0 + 4 Combine like terms: 0 + 4 = 4 -9m = 4 Divide each side by '-9'. m = -0.4444444444 Simplifying m = -0.4444444444Subproblem 2
Set the factor '(9 + -4m)' equal to zero and attempt to solve: Simplifying 9 + -4m = 0 Solving 9 + -4m = 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 + -4m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = 0 + -9 -4m = 0 + -9 Combine like terms: 0 + -9 = -9 -4m = -9 Divide each side by '-4'. m = 2.25 Simplifying m = 2.25Solution
m = {-0.4444444444, 2.25}
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