Answer
$$x=\frac{3}{5},\:x=-\frac{3}{5}$$
Work Step by Step
In order to solve the equation, we first simplify both sides of the equation. Next, we isolate the variable. Doing this, we find:
$$ -x^2=-\frac{9}{25} \\ x^2=\frac{9}{25} \\ x=\frac{3}{5},\:x=-\frac{3}{5}$$