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Simplifying 3n3 + -6n = 0 Reorder the terms: -6n + 3n3 = 0 Solving -6n + 3n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(-2 + n2) = 0 Ignore the factor 3.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 '(-2 + n2)' equal to zero and attempt to solve: Simplifying -2 + n2 = 0 Solving -2 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n2 = 0 + 2 n2 = 0 + 2 Combine like terms: 0 + 2 = 2 n2 = 2 Simplifying n2 = 2 Take the square root of each side: n = {-1.414213562, 1.414213562}Solution
n = {0, -1.414213562, 1.414213562}
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