\(\Leftrightarrow3\sqrt{3}x^3+9x^2+3\sqrt{3}x-9=0\)
\(\Leftrightarrow\left(\sqrt{3}x\right)^3+3.\left(\sqrt{3}x\right)^2.1+3.\left(\sqrt{3}x\right).1^2+1^3-10=0\)
\(\Leftrightarrow\left(\sqrt{3}x+1\right)^3=10\)
\(\Leftrightarrow\sqrt{3}x+1=\sqrt[3]{10}\)
\(\Leftrightarrow x=\frac{\sqrt[3]{10}-1}{\sqrt{3}}\)