\(3x-17=x+3\)
\(\Rightarrow3x-x=3+17\)
\(\Rightarrow2x=20\)
\(\Rightarrow x=10\)
\(\left(x-3\right)\left(2x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\2x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-3\end{cases}}}\)
\(\left(x-3\right)\left(2x+6\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\2x+6=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)