For the equation x2+y2+z2=2xyzx^2 + y^2 + z^2 = 2xyzx2+y2+z2=2xyz, what is the only solution in non-negative integers?
(0,0,0)(0, 0, 0)(0,0,0)
(1,1,1)(1, 1, 1)(1,1,1)
(2,2,2)(2, 2, 2)(2,2,2)
No solutions