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Simplifying (-8m + 2)(-8m + -6) = 0 Reorder the terms: (2 + -8m)(-8m + -6) = 0 Reorder the terms: (2 + -8m)(-6 + -8m) = 0 Multiply (2 + -8m) * (-6 + -8m) (2(-6 + -8m) + -8m * (-6 + -8m)) = 0 ((-6 * 2 + -8m * 2) + -8m * (-6 + -8m)) = 0 ((-12 + -16m) + -8m * (-6 + -8m)) = 0 (-12 + -16m + (-6 * -8m + -8m * -8m)) = 0 (-12 + -16m + (48m + 64m2)) = 0 Combine like terms: -16m + 48m = 32m (-12 + 32m + 64m2) = 0 Solving -12 + 32m + 64m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 8m + 16m2) = 0 Factor a trinomial. 4((-3 + -4m)(1 + -4m)) = 0 Ignore the factor 4.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 '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 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 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25Solution
m = {-0.75, 0.25}
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