\(\Rightarrow\left(x+y-x+2\right)\left(x+y+x-2\right)=0\\ \Rightarrow\left(y+2\right)\left(2x+y-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}y=-2\\2x+y=2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}y=-2\\2x-2=2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}y=-2\\x=2\end{matrix}\right.\)