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Simplifying n2 = 9 + -8n Solving n2 = 9 + -8n Solving for variable 'n'. Reorder the terms: -9 + 8n + n2 = 9 + -8n + -9 + 8n Reorder the terms: -9 + 8n + n2 = 9 + -9 + -8n + 8n Combine like terms: 9 + -9 = 0 -9 + 8n + n2 = 0 + -8n + 8n -9 + 8n + n2 = -8n + 8n Combine like terms: -8n + 8n = 0 -9 + 8n + n2 = 0 Factor a trinomial. (-9 + -1n)(1 + -1n) = 0Subproblem 1
Set the factor '(-9 + -1n)' equal to zero and attempt to solve: Simplifying -9 + -1n = 0 Solving -9 + -1n = 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 + -1n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1n = 0 + 9 -1n = 0 + 9 Combine like terms: 0 + 9 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-9, 1}
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