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Simplifying n2 + -8n + 3 = 3 Reorder the terms: 3 + -8n + n2 = 3 Add '-3' to each side of the equation. 3 + -8n + -3 + n2 = 3 + -3 Reorder the terms: 3 + -3 + -8n + n2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -8n + n2 = 3 + -3 -8n + n2 = 3 + -3 Combine like terms: 3 + -3 = 0 -8n + n2 = 0 Solving -8n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-8 + 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 '(-8 + n)' equal to zero and attempt to solve: Simplifying -8 + n = 0 Solving -8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + n = 0 + 8 n = 0 + 8 Combine like terms: 0 + 8 = 8 n = 8 Simplifying n = 8Solution
n = {0, 8}
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