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Simplifying n2 = -18 + -19n Solving n2 = -18 + -19n Solving for variable 'n'. Reorder the terms: 18 + 19n + n2 = -18 + -19n + 18 + 19n Reorder the terms: 18 + 19n + n2 = -18 + 18 + -19n + 19n Combine like terms: -18 + 18 = 0 18 + 19n + n2 = 0 + -19n + 19n 18 + 19n + n2 = -19n + 19n Combine like terms: -19n + 19n = 0 18 + 19n + n2 = 0 Factor a trinomial. (18 + n)(1 + n) = 0Subproblem 1
Set the factor '(18 + n)' equal to zero and attempt to solve: Simplifying 18 + n = 0 Solving 18 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + n = 0 + -18 n = 0 + -18 Combine like terms: 0 + -18 = -18 n = -18 Simplifying n = -18Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-18, -1}
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