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