X/x+4+x+2/x-4=32/x²-16
x/x+2+x+2/x-4=32/x²-16
x/x+4+x+2/x-4-32/x²-16=0
x/x+4+x+2/x-4-32/(x-4)*(x+4)=0
x*(x-4)+(x+4)*(x+2)-32/(x-4)*(x+4)=0
x²-4x+x²+2x+4x+8-32/(x-4)*(x+4)=0
2x²+2x-24/(x-4)*(x+4)=0
2(x²+x-12)/(x-4)*(x+4)=0
2(x²+4x-3x-12)/(x-4)*(x+4)=0
2(x*(x+4)-3*(x+4))/(x-4)*(x+4)=0
2(x+4)*(x-3)/(x-4)*(x+4)=0
2(x-3)/x-4=0
2x-6/x-4=0
2x-6=0
2x=6
x=3, x не = -4 и 4