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Simplifying (8m + -5)(m + 5) = 0 Reorder the terms: (-5 + 8m)(m + 5) = 0 Reorder the terms: (-5 + 8m)(5 + m) = 0 Multiply (-5 + 8m) * (5 + m) (-5(5 + m) + 8m * (5 + m)) = 0 ((5 * -5 + m * -5) + 8m * (5 + m)) = 0 ((-25 + -5m) + 8m * (5 + m)) = 0 (-25 + -5m + (5 * 8m + m * 8m)) = 0 (-25 + -5m + (40m + 8m2)) = 0 Combine like terms: -5m + 40m = 35m (-25 + 35m + 8m2) = 0 Solving -25 + 35m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -1m)(5 + -8m) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(5 + -8m)' equal to zero and attempt to solve: Simplifying 5 + -8m = 0 Solving 5 + -8m = 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 + -8m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = 0 + -5 -8m = 0 + -5 Combine like terms: 0 + -5 = -5 -8m = -5 Divide each side by '-8'. m = 0.625 Simplifying m = 0.625Solution
m = {-5, 0.625}
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