I think factorization may help

Algebra Level 4

\[\frac { x^{ 2 }-1 }{ 2x } +\frac { x^{ 3 }-1 }{ 3x } +\frac { x^{ 4 }-1 }{ 4x } =0\]

Find the arithmetic mean of all complex (includes real) solution(s) for \(x\).

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