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Simplifying 8m2 = -16m + 384 Reorder the terms: 8m2 = 384 + -16m Solving 8m2 = 384 + -16m Solving for variable 'm'. Reorder the terms: -384 + 16m + 8m2 = 384 + -16m + -384 + 16m Reorder the terms: -384 + 16m + 8m2 = 384 + -384 + -16m + 16m Combine like terms: 384 + -384 = 0 -384 + 16m + 8m2 = 0 + -16m + 16m -384 + 16m + 8m2 = -16m + 16m Combine like terms: -16m + 16m = 0 -384 + 16m + 8m2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-48 + 2m + m2) = 0 Factor a trinomial. 8((-8 + -1m)(6 + -1m)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-8, 6}
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