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Simplifying m2 + 6m + 4 = -4 Reorder the terms: 4 + 6m + m2 = -4 Solving 4 + 6m + m2 = -4 Solving for variable 'm'. Reorder the terms: 4 + 4 + 6m + m2 = -4 + 4 Combine like terms: 4 + 4 = 8 8 + 6m + m2 = -4 + 4 Combine like terms: -4 + 4 = 0 8 + 6m + m2 = 0 Factor a trinomial. (4 + m)(2 + m) = 0Subproblem 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 '(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 = {-4, -2}
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