\(ĐK:x\ge0\\ PT\Leftrightarrow\sqrt{3x}-4\sqrt{3x}+\dfrac{1}{3}\cdot3\sqrt{3x}=-4\\ \Leftrightarrow-2\sqrt{3x}=-4\Leftrightarrow\sqrt{3x}=2\\ \Leftrightarrow3x=4\Leftrightarrow x=\dfrac{4}{3}\left(tm\right)\)
\(\sqrt{3x}-2\sqrt{12x}+\dfrac{1}{3}\sqrt{27x}=-4\)
\(\Rightarrow\sqrt{3x}-2.2\sqrt{3x}+\dfrac{1}{3}.3\sqrt{3x}=-4\)
\(\Rightarrow\sqrt{3x}-4\sqrt{3x}+\sqrt{3x}=-4\)
\(\Rightarrow-2\sqrt{3x}=-4\)
\(\Rightarrow\sqrt{3x}=2\)
\(\Rightarrow3x=4\)
\(\Rightarrow x=\dfrac{4}{3}\)