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Simplifying m2 = -12m + -36 Reorder the terms: m2 = -36 + -12m Solving m2 = -36 + -12m Solving for variable 'm'. Reorder the terms: 36 + 12m + m2 = -36 + -12m + 36 + 12m Reorder the terms: 36 + 12m + m2 = -36 + 36 + -12m + 12m Combine like terms: -36 + 36 = 0 36 + 12m + m2 = 0 + -12m + 12m 36 + 12m + m2 = -12m + 12m Combine like terms: -12m + 12m = 0 36 + 12m + m2 = 0 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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