Answer
$\frac{-2\pm\sqrt{7}}{2}$.
Work Step by Step
The quadratic formula is:
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.
Hence the solutions are: $x=\frac{-8\pm\sqrt{8^2-4\cdot4(-3)}}{2\cdot4}=\frac{-8\pm\sqrt{64+48}}{8}=\frac{-4\pm\sqrt{28}}{4}=\frac{-2\pm\sqrt{7}}{2}$.