\(\Leftrightarrow\hept{\begin{cases}x-1=0\\x+6=0\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=0+1\\x=0-6\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=1\\x=-6\end{cases}}\)
\(\left(x-1\right).\left(x+6\right)=0\Leftrightarrow\orbr{\begin{cases}x-1=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-6\end{cases}}}\)