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Simplifying (3m + 2)(1m + -4) = 0 Reorder the terms: (2 + 3m)(1m + -4) = 0 Reorder the terms: (2 + 3m)(-4 + 1m) = 0 Multiply (2 + 3m) * (-4 + 1m) (2(-4 + 1m) + 3m * (-4 + 1m)) = 0 ((-4 * 2 + 1m * 2) + 3m * (-4 + 1m)) = 0 ((-8 + 2m) + 3m * (-4 + 1m)) = 0 (-8 + 2m + (-4 * 3m + 1m * 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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