8/x^2-4+x-4/x+2=x-4/2-x
8(x+2)-(x-4)(x^2-4)/(x^2-4)(x+2)=x-4/2-x
8x+16-(x^3-4x-4x^2+16)/x^3+2x^2-4x-8=x-4/2-x
8x+16-x^3+4x+4x^2-16/x^3+2x^2-4x-8=x-4/2-x
-x^3+4x^2+12x/x^3+2x^2-4x-8=x-4/2-x
(-x^3+4x^2+12x)(2-x)=(x^3+2x^2-4x-8)(x-4)
-2x^3+x^4+8x^2-4x^3+24x-12x^2=x^4-4x^3+2x^3-8x^2-4x^2+16x-8x+32
x^4-6x^3-4x^2+24x=x^4-2x^3-12x^2+8x+32
x^4-6x^3-4x^2+24x-x^4+2x^3+12x^2-8x-32=0
-6x^3-4x^2+24x+2x^3+12x^2-8x-32=0
-4x^3+8x^2+16x-32=0
x^3-2x^2-4x=8
x(x^2-2x-4)=8
x=8
*x^2-2x-12=0
D=4+4*12=4+48=√52
x=2+-√52/2
8/x^2-4+x-4/x+2=x-4/2-x
8(x+2)-(x-4)(x^2-4)/(x^2-4)(x+2)=x-4/2-x
8x+16-(x^3-4x-4x^2+16)/x^3+2x^2-4x-8=x-4/2-x
8x+16-x^3+4x+4x^2-16/x^3+2x^2-4x-8=x-4/2-x
-x^3+4x^2+12x/x^3+2x^2-4x-8=x-4/2-x
(-x^3+4x^2+12x)(2-x)=(x^3+2x^2-4x-8)(x-4)
-2x^3+x^4+8x^2-4x^3+24x-12x^2=x^4-4x^3+2x^3-8x^2-4x^2+16x-8x+32
x^4-6x^3-4x^2+24x=x^4-2x^3-12x^2+8x+32
x^4-6x^3-4x^2+24x-x^4+2x^3+12x^2-8x-32=0
-6x^3-4x^2+24x+2x^3+12x^2-8x-32=0
-4x^3+8x^2+16x-32=0
x^3-2x^2-4x=8
x(x^2-2x-4)=8
x=8
*x^2-2x-12=0
D=4+4*12=4+48=√52
x=2+-√52/2