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Simplifying (m + -4)(m + -5) = 0 Reorder the terms: (-4 + m)(m + -5) = 0 Reorder the terms: (-4 + m)(-5 + m) = 0 Multiply (-4 + m) * (-5 + m) (-4(-5 + m) + m(-5 + m)) = 0 ((-5 * -4 + m * -4) + m(-5 + m)) = 0 ((20 + -4m) + m(-5 + m)) = 0 (20 + -4m + (-5 * m + m * m)) = 0 (20 + -4m + (-5m + m2)) = 0 Combine like terms: -4m + -5m = -9m (20 + -9m + m2) = 0 Solving 20 + -9m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -1m)(5 + -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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {4, 5}
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