`~rai~`
\(\begin{cases}-2^2-2(m+1).2-(3m+1)=0\\-2.2-2(m+1)>0\end{cases}\\\Leftrightarrow \begin{cases}-4-4(m+1)-3m-1=0\\-4-2m-2>0\end{cases}\\\Leftrightarrow \begin{cases}-4-4m-4-3m-1=0\\-6-2m>0\end{cases}\\\Leftrightarrow \begin{cases}-9-7m=0\\-2m>6\end{cases}\\\Leftrightarrow \begin{cases}m=-\dfrac{9}{7}\\m<-3\end{cases}\\\Leftrightarrow m\in\varnothing.\)