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Simplifying (-8m + 3)(-8m + -6) = 0 Reorder the terms: (3 + -8m)(-8m + -6) = 0 Reorder the terms: (3 + -8m)(-6 + -8m) = 0 Multiply (3 + -8m) * (-6 + -8m) (3(-6 + -8m) + -8m * (-6 + -8m)) = 0 ((-6 * 3 + -8m * 3) + -8m * (-6 + -8m)) = 0 ((-18 + -24m) + -8m * (-6 + -8m)) = 0 (-18 + -24m + (-6 * -8m + -8m * -8m)) = 0 (-18 + -24m + (48m + 64m2)) = 0 Combine like terms: -24m + 48m = 24m (-18 + 24m + 64m2) = 0 Solving -18 + 24m + 64m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 12m + 32m2) = 0 Factor a trinomial. 2((-3 + -4m)(3 + -8m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 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 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75Subproblem 2
Set the factor '(3 + -8m)' equal to zero and attempt to solve: Simplifying 3 + -8m = 0 Solving 3 + -8m = 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 + -8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8m = 0 + -3 -8m = 0 + -3 Combine like terms: 0 + -3 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375Solution
m = {-0.75, 0.375}
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