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2\left(5x^{5}-x\right)
Factor out 2.
x\left(5x^{4}-1\right)
Consider 5x^{5}-x. Factor out x.
2x\left(5x^{4}-1\right)
Rewrite the complete factored expression. Polynomial 5x^{4}-1 is not factored since it does not have any rational roots.