3 tg (x\3-pi\3)+корень из 3=0

[latex]3tg(\frac{x}{3}-\frac{\pi}{3})+\sqrt3=0\\\\tg(\frac{x}{3}-\frac{\pi}{3})=-\frac{\sqrt3}{3}\\\\\frac{x}{3}-\frac{\pi}{3}=arctg(-\frac{\sqrt3}{3})+\pi n=-\frac{\pi}{6}+\pi n,\; n\in Z\\\\\frac{x}{3}=\frac{\pi}{6}+\pi n,\; n\in Z\\\\x=\frac{\pi}{2}+2\pi n,\; n\in Z[/latex]