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Simplifying 17m + m2 = -60 Solving 17m + m2 = -60 Solving for variable 'm'. Reorder the terms: 60 + 17m + m2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 17m + m2 = 0 Factor a trinomial. (12 + m)(5 + 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 '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {-12, -5}
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