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Simplifying n3 + 2n3 + -35n = 0 Reorder the terms: -35n + n3 + 2n3 = 0 Combine like terms: n3 + 2n3 = 3n3 -35n + 3n3 = 0 Solving -35n + 3n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-35 + 3n2) = 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 '(-35 + 3n2)' equal to zero and attempt to solve: Simplifying -35 + 3n2 = 0 Solving -35 + 3n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 3n2 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 3n2 = 0 + 35 3n2 = 0 + 35 Combine like terms: 0 + 35 = 35 3n2 = 35 Divide each side by '3'. n2 = 11.66666667 Simplifying n2 = 11.66666667 Take the square root of each side: n = {-3.415650256, 3.415650256}Solution
n = {0, -3.415650256, 3.415650256}
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