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Simplifying 3n3 + -108n = 0 Reorder the terms: -108n + 3n3 = 0 Solving -108n + 3n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(-36 + n2) = 0 Factor a difference between two squares. 3n((6 + n)(-6 + n)) = 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 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 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 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Subproblem 3
Set the factor '(-6 + n)' equal to zero and attempt to solve: Simplifying -6 + n = 0 Solving -6 + n = 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 + n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + n = 0 + 6 n = 0 + 6 Combine like terms: 0 + 6 = 6 n = 6 Simplifying n = 6Solution
n = {0, -6, 6}
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