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\frac{-4xz-9z^{3}x}{18}
Factor out \frac{1}{18}.
xz\left(-4-9z^{2}\right)
Consider -4xz-9z^{3}x. Factor out xz.
\frac{xz\left(-4-9z^{2}\right)}{18}
Rewrite the complete factored expression. Polynomial -4-9z^{2} is not factored since it does not have any rational roots.