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Simplifying m2 + 18m + 81 = 36 Reorder the terms: 81 + 18m + m2 = 36 Solving 81 + 18m + m2 = 36 Solving for variable 'm'. Reorder the terms: 81 + -36 + 18m + m2 = 36 + -36 Combine like terms: 81 + -36 = 45 45 + 18m + m2 = 36 + -36 Combine like terms: 36 + -36 = 0 45 + 18m + m2 = 0 Factor a trinomial. (15 + m)(3 + m) = 0Subproblem 1
Set the factor '(15 + m)' equal to zero and attempt to solve: Simplifying 15 + m = 0 Solving 15 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + m = 0 + -15 m = 0 + -15 Combine like terms: 0 + -15 = -15 m = -15 Simplifying m = -15Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {-15, -3}
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