( 2 k + 3 j ^ { 2 } + k ^ { 2 } > 0
Solve for k
\left\{\begin{matrix}k\in \left(\sqrt{1-3j^{2}}-1,\infty\right)\cup \left(-\infty,-\sqrt{1-3j^{2}}-1\right)\text{, }&|j|<\frac{\sqrt{3}}{3}\\k\neq -1\text{, }&|j|=\frac{\sqrt{3}}{3}\\k\in \mathrm{R}\text{, }&|j|>\frac{\sqrt{3}}{3}\end{matrix}\right.
Solve for j
\left\{\begin{matrix}j\in \left(-\infty,-\frac{\sqrt{-3k\left(k+2\right)}}{3}\right)\cup \left(\frac{\sqrt{-3k\left(k+2\right)}}{3},\infty\right)\text{, }&k\geq -2\text{ and }k\leq 0\\j\in \mathrm{R}\text{, }&k<-2\text{ or }k>0\end{matrix}\right.
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