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Simplifying m2 = -13m + -36 Reorder the terms: m2 = -36 + -13m Solving m2 = -36 + -13m Solving for variable 'm'. Reorder the terms: 36 + 13m + m2 = -36 + -13m + 36 + 13m Reorder the terms: 36 + 13m + m2 = -36 + 36 + -13m + 13m Combine like terms: -36 + 36 = 0 36 + 13m + m2 = 0 + -13m + 13m 36 + 13m + m2 = -13m + 13m Combine like terms: -13m + 13m = 0 36 + 13m + m2 = 0 Factor a trinomial. (9 + m)(4 + m) = 0Subproblem 1
Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Subproblem 2
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 = -4Solution
m = {-9, -4}
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