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Simplifying 12m2 + 11m + 2 = 0 Reorder the terms: 2 + 11m + 12m2 = 0 Solving 2 + 11m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + 3m)(1 + 4m) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
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 = -0.25Solution
m = {-0.6666666667, -0.25}
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