`1/x={x+2}/{x-2}-2/{x^2-2x}\quad (x\ne 0; x\ne 2)`
`<=>1/x={x+2}/{x-2}-2/{x(x-2)}`
`<=>{x-2}/{x(x-2)}={x(x+2)}/{x(x-2)}-2/{x(x-2)}`
`=>x-2=x(x+2)-2`
`<=>x-2=x^2+2x-2`
`<=>x^2+x=0`
`<=>x(x+1)=0`
`<=>`\(\left[ \begin{array}{l}x=0\ (KTM)\\x=-1\ (TM)\end{array} \right.\)
Vậy PT có tập nghiệm `S={-1}`