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Simplifying 13n3 + 8n2 = 0 Reorder the terms: 8n2 + 13n3 = 0 Solving 8n2 + 13n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n2'. n2(8 + 13n) = 0Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(8 + 13n)' equal to zero and attempt to solve: Simplifying 8 + 13n = 0 Solving 8 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13n = 0 + -8 13n = 0 + -8 Combine like terms: 0 + -8 = -8 13n = -8 Divide each side by '13'. n = -0.6153846154 Simplifying n = -0.6153846154Solution
n = {0, -0.6153846154}
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