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Simplifying 2n2 + 30n = 0 Reorder the terms: 30n + 2n2 = 0 Solving 30n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(15 + n) = 0 Ignore the factor 2.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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