Answer
$\frac{-4\pm\sqrt{31}}{5}$.
Work Step by Step
The quadratic formula is: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.
Hence the solutions are: $x=\frac{-8\pm\sqrt{8^2-4\cdot5(-3)}}{2\cdot5}=\frac{-8\pm\sqrt{64+60}}{10}=\frac{-4\pm\sqrt{31}}{5}$.