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