Školjka

%V0 Odredite sva realna rješenja sustava jednadžbi $$$\begin{align*} x^2 - y^2 &= 2 \left( xz + yz + x + y \right)\\ y^2 - z^2 &= 2 \left( yx + zx + y + z \right)\\ z^2 - x^2 &= 2 \left( zy + xy + z + x \right) \text{.} \end{align*}$$$