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Simplifying 5n3 + 20n = 0 Reorder the terms: 20n + 5n3 = 0 Solving 20n + 5n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(4 + n2) = 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 '(4 + n2)' equal to zero and attempt to solve: Simplifying 4 + n2 = 0 Solving 4 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n2 = 0 + -4 n2 = 0 + -4 Combine like terms: 0 + -4 = -4 n2 = -4 Simplifying n2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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