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Simplifying 12m2 + -13m + -4 = 0 Reorder the terms: -4 + -13m + 12m2 = 0 Solving -4 + -13m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -4m)(4 + -3m) = 0Subproblem 1
Set the factor '(-1 + -4m)' equal to zero and attempt to solve: Simplifying -1 + -4m = 0 Solving -1 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4m = 0 + 1 -4m = 0 + 1 Combine like terms: 0 + 1 = 1 -4m = 1 Divide each side by '-4'. m = -0.25 Simplifying m = -0.25Subproblem 2
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 = 1.333333333Solution
m = {-0.25, 1.333333333}
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