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Simplifying (7m + -1)(m + 8) = 0 Reorder the terms: (-1 + 7m)(m + 8) = 0 Reorder the terms: (-1 + 7m)(8 + m) = 0 Multiply (-1 + 7m) * (8 + m) (-1(8 + m) + 7m * (8 + m)) = 0 ((8 * -1 + m * -1) + 7m * (8 + m)) = 0 ((-8 + -1m) + 7m * (8 + m)) = 0 (-8 + -1m + (8 * 7m + m * 7m)) = 0 (-8 + -1m + (56m + 7m2)) = 0 Combine like terms: -1m + 56m = 55m (-8 + 55m + 7m2) = 0 Solving -8 + 55m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(1 + -7m) = 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 + -7m)' equal to zero and attempt to solve: Simplifying 1 + -7m = 0 Solving 1 + -7m = 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 + -7m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7m = 0 + -1 -7m = 0 + -1 Combine like terms: 0 + -1 = -1 -7m = -1 Divide each side by '-7'. m = 0.1428571429 Simplifying m = 0.1428571429Solution
m = {-8, 0.1428571429}
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