There are an infinite number of solutions, but if we just look at positive integers (whole numbers including zero) of x, y and z we can find a few solutions:
(x,y,z)=(0,3,3), (1,0,4), (3,2,0), (2,1,2)
If we allow negative values there are many more solutions, e.g.:
(4,-1,1), (-1,10,-1), (7,-2,-2),...
When we allow fractions the number of solutions grows.