Solve for c (complex solution)
c=\frac{2d^{2}\left(9p^{2}-25\right)}{3}
d\neq 0\text{ and }p\neq -\frac{5}{3}\text{ and }p\neq \frac{5}{3}
Solve for d (complex solution)
d=-\frac{i\left(25-9p^{2}\right)^{-\frac{1}{2}}\sqrt{6c}}{2}
d=\frac{i\left(25-9p^{2}\right)^{-\frac{1}{2}}\sqrt{6c}}{2}\text{, }c\neq 0\text{ and }p\neq -\frac{5}{3}\text{ and }p\neq \frac{5}{3}
Solve for c
c=\frac{2d^{2}\left(9p^{2}-25\right)}{3}
d\neq 0\text{ and }|p|\neq \frac{5}{3}
Solve for d
d=\frac{\sqrt{-\frac{6c}{25-9p^{2}}}}{2}
d=-\frac{\sqrt{-\frac{6c}{25-9p^{2}}}}{2}\text{, }\left(|p|>\frac{5}{3}\text{ and }c>0\right)\text{ or }\left(|p|<\frac{5}{3}\text{ and }c<0\right)
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