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Simplifying (2m + -8)(2m + -8) = 0 Reorder the terms: (-8 + 2m)(2m + -8) = 0 Reorder the terms: (-8 + 2m)(-8 + 2m) = 0 Multiply (-8 + 2m) * (-8 + 2m) (-8(-8 + 2m) + 2m * (-8 + 2m)) = 0 ((-8 * -8 + 2m * -8) + 2m * (-8 + 2m)) = 0 ((64 + -16m) + 2m * (-8 + 2m)) = 0 (64 + -16m + (-8 * 2m + 2m * 2m)) = 0 (64 + -16m + (-16m + 4m2)) = 0 Combine like terms: -16m + -16m = -32m (64 + -32m + 4m2) = 0 Solving 64 + -32m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -8m + m2) = 0 Factor a trinomial. 4((4 + -1m)(4 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {4, 4}
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