\(\left(x+5\right)\left(3x-12\right)>0\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x+5>0\\3x-12< 0\end{matrix}\right.\\\left\{{}\begin{matrix}x+5< 0\\3x-12>0\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-5\\x< 4\end{matrix}\right.\\\left\{{}\begin{matrix}x< -5\\x>4\end{matrix}\right.\left(nv\right)\end{matrix}\right.\)
Vậy ..........