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

1
ϕ (x + y + z, xyz) = 0
2
ϕ (x + 2y + z, xz) = 0
3
ϕ (2x + y + z, xyz) = 0
4
ϕ (x + y + z, xy) = 0

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