\(\left(x+3\right)\left(x-4\right)+\left(x+5\right)\left(x-4\right)=0\)
\(\left(x-4\right)\left(x+3+x+5\right)=0\)
\(\left(x-4\right)\left(2x+8\right)=0\)
\(\left[{}\begin{matrix}x-4=0\Leftrightarrow x=4\\2x+8=0\Leftrightarrow x=-4\end{matrix}\right.\)