24c^2d/9p^2-255-3/12cd^3=8/3 ھەل قىلىش

$$\frac{ 24 { c }^{ 2 } d }{ 9 { p }^{ 2 } -25 } \frac{ 5-3 }{ 12c { d }^{ 3 } } = \frac{ 8 }{ 3 }$$

c نى يېشىش (complex solution)

$$c=\frac{2d^{2}\left(9p^{2}-25\right)}{3}$$

$$d\neq 0\text{ and }p\neq -\frac{5}{3}\text{ and }p\neq \frac{5}{3}$$

d نى يېشىش (complex solution)

$$d=-\frac{i\left(25-9p^{2}\right)^{-\frac{1}{2}}\sqrt{6c}}{2}$$

$$d=\frac{i\left(25-9p^{2}\right)^{-\frac{1}{2}}\sqrt{6c}}{2}\text{, }c\neq 0\text{ and }p\neq -\frac{5}{3}\text{ and }p\neq \frac{5}{3}$$

c نى يېشىش

$$c=\frac{2d^{2}\left(9p^{2}-25\right)}{3}$$

$$d\neq 0\text{ and }|p|\neq \frac{5}{3}$$

d نى يېشىش

$$d=\frac{\sqrt{-\frac{6c}{25-9p^{2}}}}{2}$$

$$d=-\frac{\sqrt{-\frac{6c}{25-9p^{2}}}}{2}\text{, }\left(|p|>\frac{5}{3}\text{ and }c>0\right)\text{ or }\left(|p|<\frac{5}{3}\text{ and }c<0\right)$$