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Simplifying 5n2 + -75n = 0 Reorder the terms: -75n + 5n2 = 0 Solving -75n + 5n2 = 0 Solving for variable 'n'. 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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