TeX source:
\begin{array}{rclll}0 &=& 10z^2+4z^2-32 &\vert& : 10 \cr 0 &=& z^2+\dfrac{2}{5}z-\dfrac{16}{5} &\vert& \text{p-q-Formel} \cr z_{2,3} &=& -\dfrac{1}{5} \pm \sqrt{\left(\dfrac{1}{5}\right)^2+\dfrac{16}{5}} \cr z_{2,3} &=& -\dfrac{1}{5} \pm \sqrt{\dfrac{81}{25}} \cr\cr z_2 &=& -\dfrac{1}{5} + \dfrac{9}{5} = \dfrac{8}{5} \cr\cr z_3 &=& -\dfrac{1}{5} - \dfrac{9}{5} = -2\end{array}