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Simplifying n2 = -45 + -14n Solving n2 = -45 + -14n Solving for variable 'n'. Reorder the terms: 45 + 14n + n2 = -45 + -14n + 45 + 14n Reorder the terms: 45 + 14n + n2 = -45 + 45 + -14n + 14n Combine like terms: -45 + 45 = 0 45 + 14n + n2 = 0 + -14n + 14n 45 + 14n + n2 = -14n + 14n Combine like terms: -14n + 14n = 0 45 + 14n + n2 = 0 Factor a trinomial. (9 + n)(5 + n) = 0Subproblem 1
Set the factor '(9 + n)' equal to zero and attempt to solve: Simplifying 9 + n = 0 Solving 9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n = 0 + -9 n = 0 + -9 Combine like terms: 0 + -9 = -9 n = -9 Simplifying n = -9Subproblem 2
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {-9, -5}
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