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Simplifying (2m + -2)(m + -4) = 0 Reorder the terms: (-2 + 2m)(m + -4) = 0 Reorder the terms: (-2 + 2m)(-4 + m) = 0 Multiply (-2 + 2m) * (-4 + m) (-2(-4 + m) + 2m * (-4 + m)) = 0 ((-4 * -2 + m * -2) + 2m * (-4 + m)) = 0 ((8 + -2m) + 2m * (-4 + m)) = 0 (8 + -2m + (-4 * 2m + m * 2m)) = 0 (8 + -2m + (-8m + 2m2)) = 0 Combine like terms: -2m + -8m = -10m (8 + -10m + 2m2) = 0 Solving 8 + -10m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -5m + m2) = 0 Factor a trinomial. 2((1 + -1m)(4 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 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 = {1, 4}
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