\(A=x^2-2x+2=2\Leftrightarrow x\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
\(A=2\Rightarrow x^2-2x+2=2\)
\(\Rightarrow\)\(x^2-2x=0\)
\(\Rightarrow\left\{{}\begin{matrix}x=0\\x-2=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)