\begin{aligned}x_{1/2}&=-\frac{p}{2}\pm\sqrt{\Bigl(\frac{p}{2}\Bigr)^2-q} \\ x_{1/2}&=-\frac{3}{2}\pm\sqrt{\Bigl(\frac{3}{2}\Bigr)^2-(-2)} \\ x_{1/2}&=-\frac{3}{2}\pm\sqrt{\frac{9}{4}+2} \\ x_{1/2}&=-\frac{3}{2}\pm\sqrt{\frac{17}{4}} \\ x_{1}&=-\frac{3}{2}+\sqrt{\frac{17}{4}}≈0.56 \\ x_{2}&=-\frac{3}{2}-\sqrt{\frac{17}{4}}≈-3.56\end{aligned}