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Simplifying (m + 8)(2m + -1) = 0 Reorder the terms: (8 + m)(2m + -1) = 0 Reorder the terms: (8 + m)(-1 + 2m) = 0 Multiply (8 + m) * (-1 + 2m) (8(-1 + 2m) + m(-1 + 2m)) = 0 ((-1 * 8 + 2m * 8) + m(-1 + 2m)) = 0 ((-8 + 16m) + m(-1 + 2m)) = 0 (-8 + 16m + (-1 * m + 2m * m)) = 0 (-8 + 16m + (-1m + 2m2)) = 0 Combine like terms: 16m + -1m = 15m (-8 + 15m + 2m2) = 0 Solving -8 + 15m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(1 + -2m) = 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 '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-8, 0.5}
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