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Simplifying 4n3 + -13n = 0 Reorder the terms: -13n + 4n3 = 0 Solving -13n + 4n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-13 + 4n2) = 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 '(-13 + 4n2)' equal to zero and attempt to solve: Simplifying -13 + 4n2 = 0 Solving -13 + 4n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4n2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4n2 = 0 + 13 4n2 = 0 + 13 Combine like terms: 0 + 13 = 13 4n2 = 13 Divide each side by '4'. n2 = 3.25 Simplifying n2 = 3.25 Take the square root of each side: n = {-1.802775638, 1.802775638}Solution
n = {0, -1.802775638, 1.802775638}
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