Solve the system of equations below, listing all un-ordered triplets of integers:

**
x^2 −(y+z+yz)x+ (y+z)yz = 0 **

y^2 −(z+x+zx)y+ (z+x)zx = 0

z^2 −(x+y+xy)z+ (x+y)xy = 0

(In reply to

No Subject by xdog)

you say : * "...the discriminant is the square of the coefficient of x, so x=1 or x=0."*

It is not!

Please see my "short solution"