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9\left(-4x^{4}-5x\right)
Factor out 9.
x\left(-4x^{3}-5\right)
Consider -4x^{4}-5x. Factor out x.
9x\left(-4x^{3}-5\right)
Rewrite the complete factored expression. Polynomial -4x^{3}-5 is not factored since it does not have any rational roots.