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Simplifying 12m2 + 13m + -14 = 0 Reorder the terms: -14 + 13m + 12m2 = 0 Solving -14 + 13m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -4m)(2 + -3m) = 0Subproblem 1
Set the factor '(-7 + -4m)' equal to zero and attempt to solve: Simplifying -7 + -4m = 0 Solving -7 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = 0 + 7 -4m = 0 + 7 Combine like terms: 0 + 7 = 7 -4m = 7 Divide each side by '-4'. m = -1.75 Simplifying m = -1.75Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-1.75, 0.6666666667}
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