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Simplifying 9m2 + -12m + -32 = 0 Reorder the terms: -32 + -12m + 9m2 = 0 Solving -32 + -12m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(8 + -3m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667Solution
m = {-1.333333333, 2.666666667}
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