`x\sqrt{x}-x-2\sqrt{x}=0`
`⇔x\sqrt{x}-2x+x-2\sqrt{x}=0`
`⇔x(\sqrt{x}-2)+\sqrt{x}(\sqrt{x}-2)=0`
`⇔(x+\sqrt{x})(\sqrt{x}-2)=0`
`⇔\sqrt{x}(\sqrt{x}+1)(\sqrt{x}-2)=0`
`⇔` \(\left[ \begin{array}{l}\sqrt{x}=0\\\sqrt{x}+1=0\\\sqrt{x}-2=0\end{array} \right.\) `⇔` \(\left[ \begin{array}{l}x=0\\x=∈∅\\x=4\end{array} \right.\)