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Simplifying (m + 4)(m + -2) = 0 Reorder the terms: (4 + m)(m + -2) = 0 Reorder the terms: (4 + m)(-2 + m) = 0 Multiply (4 + m) * (-2 + m) (4(-2 + m) + m(-2 + m)) = 0 ((-2 * 4 + m * 4) + m(-2 + m)) = 0 ((-8 + 4m) + m(-2 + m)) = 0 (-8 + 4m + (-2 * m + m * m)) = 0 (-8 + 4m + (-2m + m2)) = 0 Combine like terms: 4m + -2m = 2m (-8 + 2m + m2) = 0 Solving -8 + 2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -1m)(2 + -1m) = 0Subproblem 1
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 = -4Subproblem 2
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 = 2Solution
m = {-4, 2}
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