\(\left(5-x\right)\left(x+7\right)=0\\ \Rightarrow\left[{}\begin{matrix}5-x=0\\x+7=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=5\\x=-7\end{matrix}\right.\)
\(\left[{}\begin{matrix}5-x=0\\x+7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-7\end{matrix}\right.\)