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Simplifying n2 + 16n + 68 = 5 Reorder the terms: 68 + 16n + n2 = 5 Solving 68 + 16n + n2 = 5 Solving for variable 'n'. Reorder the terms: 68 + -5 + 16n + n2 = 5 + -5 Combine like terms: 68 + -5 = 63 63 + 16n + n2 = 5 + -5 Combine like terms: 5 + -5 = 0 63 + 16n + n2 = 0 Factor a trinomial. (9 + n)(7 + 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 '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Solution
n = {-9, -7}
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