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Simplifying [3m + 2][m + -4] = 0 Reorder the terms: [2 + 3m][m + -4] = 0 Reorder the terms: [2 + 3m][-4 + m] = 0 Multiply [2 + 3m] * [-4 + m] [2[-4 + m] + 3m * [-4 + m]] = 0 [[-4 * 2 + m * 2] + 3m * [-4 + m]] = 0 [[-8 + 2m] + 3m * [-4 + m]] = 0 [-8 + 2m + [-4 * 3m + m * 3m]] = 0 [-8 + 2m + [-12m + 3m2]] = 0 Combine like terms: 2m + -12m = -10m [-8 + -10m + 3m2] = 0 Solving -8 + -10m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -3m)(4 + -1m) = 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 '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.6666666667, 4}
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