Solve for y_4
\left\{\begin{matrix}y_{4}<-\frac{4\left(2c+1\right)}{t}\text{, }&t>0\\y_{4}\in \mathrm{R}\text{, }&c<-\frac{1}{2}\text{ and }t=0\\y_{4}>-\frac{4\left(2c+1\right)}{t}\text{, }&t<0\end{matrix}\right.
Solve for t
\left\{\begin{matrix}t<-\frac{4\left(2c+1\right)}{y_{4}}\text{, }&y_{4}>0\\t\in \mathrm{R}\text{, }&c<-\frac{1}{2}\text{ and }y_{4}=0\\t>-\frac{4\left(2c+1\right)}{y_{4}}\text{, }&y_{4}<0\end{matrix}\right.
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