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

computer exploration by Charlie)

(0,0,0) is a valid solution , not to be ignored.

Apparently the program looked only for positive solutions and started with a total of 3 instead of zero .

(negative numbers are ruled out just by looking at the equations) .===**WRONG - SEE MY NEXT POST**

*Edited on ***October 27, 2016, 9:57 am**