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Simplifying (6m + -6)(8m + 7) = 0 Reorder the terms: (-6 + 6m)(8m + 7) = 0 Reorder the terms: (-6 + 6m)(7 + 8m) = 0 Multiply (-6 + 6m) * (7 + 8m) (-6(7 + 8m) + 6m * (7 + 8m)) = 0 ((7 * -6 + 8m * -6) + 6m * (7 + 8m)) = 0 ((-42 + -48m) + 6m * (7 + 8m)) = 0 (-42 + -48m + (7 * 6m + 8m * 6m)) = 0 (-42 + -48m + (42m + 48m2)) = 0 Combine like terms: -48m + 42m = -6m (-42 + -6m + 48m2) = 0 Solving -42 + -6m + 48m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6'. 6(-7 + -1m + 8m2) = 0 Factor a trinomial. 6((-7 + -8m)(1 + -1m)) = 0 Ignore the factor 6.Subproblem 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 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-0.875, 1}
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