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