Quadratic Formula

\begin{aligned}
x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[10px]
x &= \frac{-5 \pm \sqrt{5^2 - 4(2)(-3)}}{2(2)} \\[10px]
&= \frac{-5 \pm \sqrt{49}}{4} \\[10px]
&= \frac{-5 \pm 7}{4} \\[10px]
&\boxed{x = \frac{1}{2}} \quad \text{or} \quad \boxed{x = -3}
\end{aligned}