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Simplifying 4m(3m + -5) + -8 = -11 Reorder the terms: 4m(-5 + 3m) + -8 = -11 (-5 * 4m + 3m * 4m) + -8 = -11 (-20m + 12m2) + -8 = -11 Reorder the terms: -8 + -20m + 12m2 = -11 Solving -8 + -20m + 12m2 = -11 Solving for variable 'm'. Reorder the terms: -8 + 11 + -20m + 12m2 = -11 + 11 Combine like terms: -8 + 11 = 3 3 + -20m + 12m2 = -11 + 11 Combine like terms: -11 + 11 = 0 3 + -20m + 12m2 = 0 Factor a trinomial. (1 + -6m)(3 + -2m) = 0Subproblem 1
Set the factor '(1 + -6m)' equal to zero and attempt to solve: Simplifying 1 + -6m = 0 Solving 1 + -6m = 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 + -6m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6m = 0 + -1 -6m = 0 + -1 Combine like terms: 0 + -1 = -1 -6m = -1 Divide each side by '-6'. m = 0.1666666667 Simplifying m = 0.1666666667Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {0.1666666667, 1.5}
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