TeX Quellcode:

\begin{array}{lrclcll}& 12x^2\left(x-1\right) &=& -\sqrt{144p}\cdot x\cdot\left(x-1\right) &\vert & :\left(x-1\right) \\& 12x^2 &=& -\sqrt{144p}\cdot x &\vert & +\sqrt{144p}\cdot x \\& 12x^2+\sqrt{144p}\cdot x &=& 0 \\& x\left(12x+\sqrt{144p}\right) &=& 0 &\vert &\text{Satz vom Nullprodukt}\\\\\text{Faktor 1:} & x_1 &=& 0 \\\\\text{Faktor 2:} & 12x+\sqrt{144p} &=& 0 &\vert & -\sqrt{144p} \\& 12x &=& -\sqrt{144p} \\& 12x &=& -12\sqrt{p} &\vert & :12 \\& x_2 &=& -\sqrt{p}\end{array}