#### Answer

$$x=2,\:x=-\frac{1}{3}$$

#### Work Step by Step

In order to solve this problem, we use the method of completing the square. Doing this, we find:
$$ x^2-\frac{5x}{3}=\frac{2}{3} \\ x^2-\frac{5x}{3}+\left(-\frac{5}{6}\right)^2=\frac{2}{3}+\left(-\frac{5}{6}\right)^2\\ \left(x-\frac{5}{6}\right)^2=\frac{49}{36}\\ x=2,\:x=-\frac{1}{3}$$