[tex]\displaystyle\it\\\frac{2x^2}{3\sqrt{6}+2}=\frac{3\sqrt{6}-2}{9} \Leftrightarrow 18x^2=(3\sqrt{6}-2)(3\sqrt{6}+2) \Leftrightarrow \\18x^2=(3\sqrt{6})^2-4 \Leftrightarrow 18x^2=54-4=50 \implies\\ x^2=\frac{50}{18} \implies x=\pm \sqrt{\frac{50}{18}} \implies \boxed{\it x=\pm \frac{5}{3}}~.[/tex]
