6/x^2-2x-12/x^2+2x=1/x
6/x^2-2x-12x/x^2+2x=
6(x^2+2x)-12x(x^2-2x)/(x^2-2x)*(x^2+2x)=
6x^2+12x-12x^3-24x^2/(x^2-2x)*(x^2+2x)=
-12x^3-18x^2+12x/(x^2-2x)*(x^2+2x)=
x(-12x^2-18x+12)/(x^2-2x)*(x^2+2x)=
x(-12x^2-18x+12)/x(x-2)*(x+2)=
-12x^2-18x+12/x^2+2x-2x-4=
-12x^2-18x+12/x^2=4
12x^2+18x-12=0 x^2=4
2x^2+3x-2=0 x=+-2
D(3)^2-4*2*(-2)=9+16=25=5
x1=-3+5/2*2=1/2
x2=-3-5/2*2=-8/4=-2
ответ:-2 , 2 ,1/2