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Simplifying n2 = 5n Solving n2 = 5n Solving for variable 'n'. Reorder the terms: -5n + n2 = 5n + -5n Combine like terms: 5n + -5n = 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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