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Simplifying n2 = -9 + -6n Solving n2 = -9 + -6n Solving for variable 'n'. Reorder the terms: 9 + 6n + n2 = -9 + -6n + 9 + 6n Reorder the terms: 9 + 6n + n2 = -9 + 9 + -6n + 6n Combine like terms: -9 + 9 = 0 9 + 6n + n2 = 0 + -6n + 6n 9 + 6n + n2 = -6n + 6n Combine like terms: -6n + 6n = 0 9 + 6n + n2 = 0 Factor a trinomial. (3 + n)(3 + n) = 0Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {-3, -3}
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