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Simplifying 3n3 = 18n Solving 3n3 = 18n Solving for variable 'n'. Reorder the terms: -18n + 3n3 = 18n + -18n Combine like terms: 18n + -18n = 0 -18n + 3n3 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-6 + 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 '(-6 + n2)' equal to zero and attempt to solve: Simplifying -6 + n2 = 0 Solving -6 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + n2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + n2 = 0 + 6 n2 = 0 + 6 Combine like terms: 0 + 6 = 6 n2 = 6 Simplifying n2 = 6 Take the square root of each side: n = {-2.449489743, 2.449489743}Solution
n = {0, -2.449489743, 2.449489743}
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