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Simplifying (2m + -3)(m + 8) = 0 Reorder the terms: (-3 + 2m)(m + 8) = 0 Reorder the terms: (-3 + 2m)(8 + m) = 0 Multiply (-3 + 2m) * (8 + m) (-3(8 + m) + 2m * (8 + m)) = 0 ((8 * -3 + m * -3) + 2m * (8 + m)) = 0 ((-24 + -3m) + 2m * (8 + m)) = 0 (-24 + -3m + (8 * 2m + m * 2m)) = 0 (-24 + -3m + (16m + 2m2)) = 0 Combine like terms: -3m + 16m = 13m (-24 + 13m + 2m2) = 0 Solving -24 + 13m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(3 + -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 '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {-8, 1.5}
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