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Simplifying n2 + 8n = 3n Reorder the terms: 8n + n2 = 3n Solving 8n + n2 = 3n Solving for variable 'n'. Reorder the terms: 8n + -3n + n2 = 3n + -3n Combine like terms: 8n + -3n = 5n 5n + n2 = 3n + -3n Combine like terms: 3n + -3n = 0 5n + n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(5 + 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 '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {0, -5}
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