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Simplifying 12m2 + 11m + -15 = 0 Reorder the terms: -15 + 11m + 12m2 = 0 Solving -15 + 11m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -3m)(3 + -4m) = 0Subproblem 1
Set the factor '(-5 + -3m)' equal to zero and attempt to solve: Simplifying -5 + -3m = 0 Solving -5 + -3m = 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 + -3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3m = 0 + 5 -3m = 0 + 5 Combine like terms: 0 + 5 = 5 -3m = 5 Divide each side by '-3'. m = -1.666666667 Simplifying m = -1.666666667Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Solution
m = {-1.666666667, 0.75}
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