TeX Quellcode:

\begin{array}{crclcl} & x+\sqrt[3]{6x^2+5x} &=& 0 &\vert& -x \cr & \sqrt[3]{6x^2+5x} &=& -x &\vert& ()^3 \cr & 6x^2+5x &=& -x^3 &\vert& +x^3 \cr & x^3+6x^2+5x &=& 0 \cr & x \cdot (x^2+6x+5) &=& 0 &\vert& \text{Satz vom Nullprodukt} \cr \cr\text{Faktor 1:} & x_1 &=& 0\;\in\;\mathbb{D} \cr\cr \text{Faktor 2:} & x^2+6x+5 &=& 0 &\vert& \text{p-q-Formel} \cr & x_{2,3} &=& -3 \pm \sqrt{3^2-5} \cr & &=& -3 \pm \sqrt{4} \cr\cr & x_2 &=& -3+2 = -1\;\in\;\mathbb{D} \cr & x_3 &=& -3-2 = -5\;\in\;\mathbb{D} \end{array}