4/z-1 - z/z+1 + 10/z^2 - 1=0
4/z-1 - z/z+1 +10/(z-1)(z+1) =0
4(z+1)-z(z-1)+10/(z-1)(z+1) =0
4z+4-z^2 +z+10/(z-1)(z+1) =0
5z+14-z^2 =0
-z^2 +5z+14=0
z^2 - 5z-14=0
z(z+2)-7(z+2)=0
(z+2)(z-7)=0
z+2=0
z-7=0
z1=-2
z2=7
4/z-1 - z/z+1 + 10/z^2 - 1=0
4/z-1 - z/z+1 +10/(z-1)(z+1) =0
4(z+1)-z(z-1)+10/(z-1)(z+1) =0
4z+4-z^2 +z+10/(z-1)(z+1) =0
5z+14-z^2 =0
-z^2 +5z+14=0
z^2 - 5z-14=0
z(z+2)-7(z+2)=0
(z+2)(z-7)=0
z+2=0
z-7=0
z1=-2
z2=7