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Simplifying n3 + -121n = 0 Reorder the terms: -121n + n3 = 0 Solving -121n + n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-121 + n2) = 0 Factor a difference between two squares. n((11 + n)(-11 + n)) = 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 '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11Subproblem 3
Set the factor '(-11 + n)' equal to zero and attempt to solve: Simplifying -11 + n = 0 Solving -11 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + n = 0 + 11 n = 0 + 11 Combine like terms: 0 + 11 = 11 n = 11 Simplifying n = 11Solution
n = {0, -11, 11}
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