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Simplifying (m + 3)(m + -6) = 0 Reorder the terms: (3 + m)(m + -6) = 0 Reorder the terms: (3 + m)(-6 + m) = 0 Multiply (3 + m) * (-6 + m) (3(-6 + m) + m(-6 + m)) = 0 ((-6 * 3 + m * 3) + m(-6 + m)) = 0 ((-18 + 3m) + m(-6 + m)) = 0 (-18 + 3m + (-6 * m + m * m)) = 0 (-18 + 3m + (-6m + m2)) = 0 Combine like terms: 3m + -6m = -3m (-18 + -3m + m2) = 0 Solving -18 + -3m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -1m)(6 + -1m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
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 = 6Solution
m = {-3, 6}
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