ta có : 4x-2y=-6
\(\Leftrightarrow-4\frac{2m^2+8m+38}{9m+15}-2\frac{3m^2-24m-3}{9m+15}=-6\)
\(\Leftrightarrow-4\left(2m^2+8m+38\right)-2\left(3m^2-24-3\right)=-6\left(9m+15\right)\)
\(\Leftrightarrow-8m^2-32m-152-6m^2+48m+6=-54m-90\)
\(\Leftrightarrow-8m^2-32m-152-6m^2+48m+6+54m+90=0\)
\(\Leftrightarrow-14m^2+70m-56=0\)
\(\Leftrightarrow-7\left(2m^2-10m+8\right)=0\)
\(\Leftrightarrow2m^2-10m+8=0\)
\(\Leftrightarrow2m^2-2m-8m+8=0\)
\(\Leftrightarrow\left(2m-8\right)\left(m-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2m-8=0\\m-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}m=4\\m=1\end{cases}}\)