\(\Leftrightarrow x\left(x-2017\right)-\left(x-2017\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-2017\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-2017=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=2017\end{cases}}}\)
Vậy.....
\(x\left(x-2017\right)-x+2017=0\)
\(\Leftrightarrow x\left(x-2017\right)-\left(x-2017\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-2017\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-2017=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\x=2017\end{cases}}\)