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Simplifying -1m2 + -8m = 16 Reorder the terms: -8m + -1m2 = 16 Solving -8m + -1m2 = 16 Solving for variable 'm'. Reorder the terms: -16 + -8m + -1m2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -8m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 8m + m2) = 0 Factor a trinomial. -1((4 + m)(4 + m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {-4, -4}
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