Solve for m
\left\{\begin{matrix}m>-\frac{3\left(4-g\right)}{15-4g}\text{, }&g<0\text{ or }g>\frac{15}{4}\\m<-\frac{3\left(4-g\right)}{15-4g}\text{, }&g>0\text{ and }g<\frac{15}{4}\end{matrix}\right.
Solve for g
\left\{\begin{matrix}g>\frac{3\left(5m+4\right)}{4m+3}\text{, }&m>-\frac{3}{4}\\g\in \left(\frac{3\left(5m+4\right)}{4m+3},0\right)\text{, }&m>-\frac{4}{5}\text{ and }m<-\frac{3}{4}\\g\in \left(0,\frac{3\left(5m+4\right)}{4m+3}\right)\text{, }&m<-\frac{4}{5}\\g<0\text{, }&m\geq -\frac{3}{4}\end{matrix}\right.
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