Poles of not so simple function

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If we consider the complex function $$ f(s)=\dfrac{1}{(1+\frac{l^3}{12}) s^2 + \frac{l^2}{2}s\sqrt{1+ms}+lms+l}, $$ where $l,\,m>0$. How can I prove that its poles $p$ are such that $\Re (p)<0$?