Answer
$x=0$
$x=\frac{\pi}{3}$
$x=\frac{2\pi}{3}$
$x=\pi$
$x=\frac{4\pi}{3}$
$x=\frac{5\pi}{3}$
Work Step by Step
$\sqrt 3~tan~3x=0$
$tan~3x=0$
$3x=n\pi$, where $n$ is an integer.
If $0\leq x\lt2π$, then $0\leq3x\lt6\pi$
$3x=0$
$x=0$
or
$3x=\pi$
$x=\frac{\pi}{3}$
or
$3x=2\pi$
$x=\frac{2\pi}{3}$
or
$3x=3\pi$
$x=\pi$
or
$3x=4\pi$
$x=\frac{4\pi}{3}$
or
$3x=5\pi$
$x=\frac{5\pi}{3}$
