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