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Simplifying (m + -5)(m + 8) = 0 Reorder the terms: (-5 + m)(m + 8) = 0 Reorder the terms: (-5 + m)(8 + m) = 0 Multiply (-5 + m) * (8 + m) (-5(8 + m) + m(8 + m)) = 0 ((8 * -5 + m * -5) + m(8 + m)) = 0 ((-40 + -5m) + m(8 + m)) = 0 (-40 + -5m + (8 * m + m * m)) = 0 (-40 + -5m + (8m + m2)) = 0 Combine like terms: -5m + 8m = 3m (-40 + 3m + m2) = 0 Solving -40 + 3m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(5 + -1m) = 0Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 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 = {-8, 5}
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