Atrisiniet (x+y)(x+z)(y+z)=(x+y)(x^prime+z)

$$( x + y ) ( x + z ) ( y + z ) = ( x + y ) ( x ^ { \prime } + z )$$

Atrast x

$$\left\{\begin{matrix}\\x=-y\text{, }&\text{unconditionally}\\x=-\frac{yz+z^{2}-z-1}{y+z}\text{, }&y\neq -z\\x\in \mathrm{R}\text{, }&z=-1\text{ and }y=1\end{matrix}\right,$$

Atrast y

$$\left\{\begin{matrix}\\y=-x\text{, }&\text{unconditionally}\\y=-\frac{xz+z^{2}-z-1}{x+z}\text{, }&x\neq -z\\y\in \mathrm{R}\text{, }&z=-1\text{ and }x=1\end{matrix}\right,$$