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Simplifying 5n3 + -2n = 0 Reorder the terms: -2n + 5n3 = 0 Solving -2n + 5n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-2 + 5n2) = 0Subproblem 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 + 5n2)' equal to zero and attempt to solve: Simplifying -2 + 5n2 = 0 Solving -2 + 5n2 = 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 + 5n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5n2 = 0 + 2 5n2 = 0 + 2 Combine like terms: 0 + 2 = 2 5n2 = 2 Divide each side by '5'. n2 = 0.4 Simplifying n2 = 0.4 Take the square root of each side: n = {-0.632455532, 0.632455532}Solution
n = {0, -0.632455532, 0.632455532}
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