Answer
$\left (x+\frac{3}{5} \right )\left (x-\frac{2}{5} \right )$.
Work Step by Step
The given expression is
$=x^2-\frac{6}{25}+\frac{1}{5}x$
Rearrange.
$=x^2+\frac{1}{5}x-\frac{6}{25}$
Rewrite $\frac{1}{5}$ as $\frac{3}{5}-\frac{2}{5}$.
$=x^2+\frac{3}{5}x-\frac{2}{5}x-\frac{6}{25}$
Factor.
$=x\left (x+\frac{3}{5} \right )-\frac{2}{5} \left (x+\frac{3}{5} \right )$
$=\left (x+\frac{3}{5} \right )\left (x-\frac{2}{5} \right )$.