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Simplifying -1m2 + -16m = -3m2 + -24 Reorder the terms: -16m + -1m2 = -3m2 + -24 Reorder the terms: -16m + -1m2 = -24 + -3m2 Solving -16m + -1m2 = -24 + -3m2 Solving for variable 'm'. Reorder the terms: 24 + -16m + -1m2 + 3m2 = -24 + -3m2 + 24 + 3m2 Combine like terms: -1m2 + 3m2 = 2m2 24 + -16m + 2m2 = -24 + -3m2 + 24 + 3m2 Reorder the terms: 24 + -16m + 2m2 = -24 + 24 + -3m2 + 3m2 Combine like terms: -24 + 24 = 0 24 + -16m + 2m2 = 0 + -3m2 + 3m2 24 + -16m + 2m2 = -3m2 + 3m2 Combine like terms: -3m2 + 3m2 = 0 24 + -16m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -8m + m2) = 0 Factor a trinomial. 2((2 + -1m)(6 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 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 = {2, 6}
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