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Simplifying (m + 6)(m + -2) = 0 Reorder the terms: (6 + m)(m + -2) = 0 Reorder the terms: (6 + m)(-2 + m) = 0 Multiply (6 + m) * (-2 + m) (6(-2 + m) + m(-2 + m)) = 0 ((-2 * 6 + m * 6) + m(-2 + m)) = 0 ((-12 + 6m) + m(-2 + m)) = 0 (-12 + 6m + (-2 * m + m * m)) = 0 (-12 + 6m + (-2m + m2)) = 0 Combine like terms: 6m + -2m = 4m (-12 + 4m + m2) = 0 Solving -12 + 4m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-6 + -1m)(2 + -1m) = 0Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 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 = {-6, 2}
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