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Simplifying (-9m + -1)(5 + 8m) = 0 Reorder the terms: (-1 + -9m)(5 + 8m) = 0 Multiply (-1 + -9m) * (5 + 8m) (-1(5 + 8m) + -9m * (5 + 8m)) = 0 ((5 * -1 + 8m * -1) + -9m * (5 + 8m)) = 0 ((-5 + -8m) + -9m * (5 + 8m)) = 0 (-5 + -8m + (5 * -9m + 8m * -9m)) = 0 (-5 + -8m + (-45m + -72m2)) = 0 Combine like terms: -8m + -45m = -53m (-5 + -53m + -72m2) = 0 Solving -5 + -53m + -72m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 53m + 72m2) = 0 Factor a trinomial. -1((5 + 8m)(1 + 9m)) = 0 Ignore the factor -1.Subproblem 1
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 = -0.625Subproblem 2
Set the factor '(1 + 9m)' equal to zero and attempt to solve: Simplifying 1 + 9m = 0 Solving 1 + 9m = 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 + 9m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9m = 0 + -1 9m = 0 + -1 Combine like terms: 0 + -1 = -1 9m = -1 Divide each side by '9'. m = -0.1111111111 Simplifying m = -0.1111111111Solution
m = {-0.625, -0.1111111111}
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