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Simplifying (m + 6)(m + 6) = 0 Reorder the terms: (6 + m)(m + 6) = 0 Reorder the terms: (6 + m)(6 + m) = 0 Multiply (6 + m) * (6 + m) (6(6 + m) + m(6 + m)) = 0 ((6 * 6 + m * 6) + m(6 + m)) = 0 ((36 + 6m) + m(6 + m)) = 0 (36 + 6m + (6 * m + m * m)) = 0 (36 + 6m + (6m + m2)) = 0 Combine like terms: 6m + 6m = 12m (36 + 12m + m2) = 0 Solving 36 + 12m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (6 + m)(6 + m) = 0Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 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 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 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 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Solution
m = {-6, -6}
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