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Simplifying n2 + 8n + 9 = -7 Reorder the terms: 9 + 8n + n2 = -7 Solving 9 + 8n + n2 = -7 Solving for variable 'n'. Reorder the terms: 9 + 7 + 8n + n2 = -7 + 7 Combine like terms: 9 + 7 = 16 16 + 8n + n2 = -7 + 7 Combine like terms: -7 + 7 = 0 16 + 8n + n2 = 0 Factor a trinomial. (4 + n)(4 + n) = 0Subproblem 1
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Subproblem 2
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {-4, -4}
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