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Simplifying (3m + -1)(8m + 7) = 0 Reorder the terms: (-1 + 3m)(8m + 7) = 0 Reorder the terms: (-1 + 3m)(7 + 8m) = 0 Multiply (-1 + 3m) * (7 + 8m) (-1(7 + 8m) + 3m * (7 + 8m)) = 0 ((7 * -1 + 8m * -1) + 3m * (7 + 8m)) = 0 ((-7 + -8m) + 3m * (7 + 8m)) = 0 (-7 + -8m + (7 * 3m + 8m * 3m)) = 0 (-7 + -8m + (21m + 24m2)) = 0 Combine like terms: -8m + 21m = 13m (-7 + 13m + 24m2) = 0 Solving -7 + 13m + 24m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -8m)(1 + -3m) = 0Subproblem 1
Set the factor '(-7 + -8m)' equal to zero and attempt to solve: Simplifying -7 + -8m = 0 Solving -7 + -8m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8m = 0 + 7 -8m = 0 + 7 Combine like terms: 0 + 7 = 7 -8m = 7 Divide each side by '-8'. m = -0.875 Simplifying m = -0.875Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {-0.875, 0.3333333333}
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