What is the complete solution for the equation $$x (y - z) p + y(z - x)q = z(x - y)?$$

A

$$\phi  (x + y + z, xyz) = 0$$

B

$$\phi (x + 2y + z, xz) = 0$$

C

$$\phi (2x + y + 2, xyz) = 0$$

D

$$\phi (x + y + z, xy) = 0$$