\(x-2xy+y=0\)
\(\Leftrightarrow2x-4xy+2y=0\)
\(\Leftrightarrow2x-4xy+2y-1=-1\)
\(\Leftrightarrow2x.\left(1-2y\right)+\left(2y-1\right)=-1\)
\(\Leftrightarrow\left(2x-1\right).\left(1-2y\right)=-1\)
\(\Rightarrow\hept{\begin{cases}2x-1=1\\1-2y=-1\end{cases}\Rightarrow\hept{\begin{cases}x=1\\y=1\end{cases}}}\)
\(\Rightarrow\hept{\begin{cases}2x-1=-1\\1-2y=1\end{cases}}\Rightarrow\hept{\begin{cases}x=0\\y=0\end{cases}}\)
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