Giải phương trình (x+2)/(x-2)-1/x=2/x(x-2)

* Hướng dẫn giải

$\begin{array}{l}\frac{x+2}{x-2}-\frac{1}{x}=\frac{2}{x(x-2)}\left(\begin{array}{l}x\ne 0\\ x\ne 2\end{array}\right)\\ \iff \frac{x(x+2)-(x-2)}{x(x-2)}=\frac{2}{x(x-2)}\\ \Rightarrow x^2+2x-x+2=2\\ \iff x^2+x=0\iff x\left(x+1\right)=0\\ \iff \left[\begin{array}{l}x=0\left(loai\right)\\ x=-1(t/m)\end{array}\right.\\ S=\left\{-1\right\}\end{array}$