1) Ta có: \(\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
Vậy \(x=2\) hoặc \(x=-1\)
2) Ta có: \(\left(3-x\right)x=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3-x=0\\x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=0\end{matrix}\right.\)
Vậy \(x=3\) hoặc \(x=0\)
3) Ta có: \(2x-17=-\left(3x-18\right)\)
\(\Leftrightarrow2x-17=18-3x\)
\(\Leftrightarrow2x+3x=18+17\)
\(\Leftrightarrow5x=35\Leftrightarrow x=\dfrac{35}{5}=7\)
Vậy \(x=7\)