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Simplifying n3 + 2n = -2n3 + -1n Reorder the terms: 2n + n3 = -2n3 + -1n Reorder the terms: 2n + n3 = -1n + -2n3 Solving 2n + n3 = -1n + -2n3 Solving for variable 'n'. Reorder the terms: 2n + n + n3 + 2n3 = -1n + -2n3 + n + 2n3 Combine like terms: 2n + n = 3n 3n + n3 + 2n3 = -1n + -2n3 + n + 2n3 Combine like terms: n3 + 2n3 = 3n3 3n + 3n3 = -1n + -2n3 + n + 2n3 Reorder the terms: 3n + 3n3 = -1n + n + -2n3 + 2n3 Combine like terms: -1n + n = 0 3n + 3n3 = 0 + -2n3 + 2n3 3n + 3n3 = -2n3 + 2n3 Combine like terms: -2n3 + 2n3 = 0 3n + 3n3 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(1 + 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 '(1 + n2)' equal to zero and attempt to solve: Simplifying 1 + n2 = 0 Solving 1 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n2 = 0 + -1 n2 = 0 + -1 Combine like terms: 0 + -1 = -1 n2 = -1 Simplifying n2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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