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Simplifying 5n + 20n = 5n(n + 20) Combine like terms: 5n + 20n = 25n 25n = 5n(n + 20) Reorder the terms: 25n = 5n(20 + n) 25n = (20 * 5n + n * 5n) 25n = (100n + 5n2) Solving 25n = 100n + 5n2 Solving for variable 'n'. Combine like terms: 25n + -100n = -75n -75n + -5n2 = 100n + 5n2 + -100n + -5n2 Reorder the terms: -75n + -5n2 = 100n + -100n + 5n2 + -5n2 Combine like terms: 100n + -100n = 0 -75n + -5n2 = 0 + 5n2 + -5n2 -75n + -5n2 = 5n2 + -5n2 Combine like terms: 5n2 + -5n2 = 0 -75n + -5n2 = 0 Factor out the Greatest Common Factor (GCF), '-5n'. -5n(15 + n) = 0 Ignore the factor -5.Subproblem 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 '(15 + n)' equal to zero and attempt to solve: Simplifying 15 + n = 0 Solving 15 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + n = 0 + -15 n = 0 + -15 Combine like terms: 0 + -15 = -15 n = -15 Simplifying n = -15Solution
n = {0, -15}
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