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Simplifying m2 + 13m + 12 = 0 Reorder the terms: 12 + 13m + m2 = 0 Solving 12 + 13m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (12 + m)(1 + m) = 0Subproblem 1
Set the factor '(12 + m)' equal to zero and attempt to solve: Simplifying 12 + m = 0 Solving 12 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m = 0 + -12 m = 0 + -12 Combine like terms: 0 + -12 = -12 m = -12 Simplifying m = -12Subproblem 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 = {-12, -1}
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