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