Answer
$$x=\frac{5}{9},\:x=-\frac{5}{9}$$
Work Step by Step
In order to solve this equation, we simplify until the variable is isolated on one side of the equation. Doing this, we find:
$$ \frac{27}{25}x^2=\frac{1}{3} \\ x^2=\frac{25}{81}\\ x=\frac{5}{9},\:x=-\frac{5}{9}$$
