để P nằm dưới trục hoành thì [tex]\left\{\begin{matrix} m-1<0 & \\ f(\frac{3}{2m-2})<0& \end{matrix}\right.[/tex]
[tex]\Leftrightarrow \left\{\begin{matrix} m<1 & \\ (m-1)\frac{9}{4(m-1)^2}+3.\frac{3}{2m-2}+1<0& \end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} m<1 & \\ \frac{4m+23}{4m-4}<0& \end{matrix}\right.\Leftrightarrow \frac{-23}{4}[/tex]