How to write down the affine transformation that transforms the plane $Ax+By+Cz+D=0$ onto the plane $z = 0$?
I cannot understand how to begin. I can express $z$ (if $C\neq 0$): $$ z=-\frac{D+Ax+By}{C} $$
And I need to get the plane $z = 0$. How to do this?