Solve {l}{alpha-3sinalpha+cosalpha=8.1}{operatorname{cog}_{3}x+log_{5}2*log_{4}7=operatorname{lo}_{0}}

$$\left. \begin{array} { l } { \alpha - 3 \sin \alpha + \cos \alpha = 8.1 } \\ { \operatorname { cog } _ { 3 } x + \log _ { 5 } 2 \cdot \log _ { 4 } 7 = \operatorname { lo } _ { 0 } } \end{array} \right.$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{-2lo_{0}+\log_{5}\left(7\right)}{2cg_{3}o}\text{, }&o\neq 0\text{ and }g_{3}\neq 0\text{ and }c\neq 0\text{ and }\alpha +\left(\frac{1}{2}+\frac{3}{2}i\right)e^{i\alpha }+\left(\frac{1}{2}-\frac{3}{2}i\right)e^{-i\alpha }-8.1=0\\x\in \mathrm{C}\text{, }&\left(o_{0}=\frac{\log_{5}\left(7\right)}{2l}\text{ and }l\neq 0\text{ and }g_{3}=0\text{ and }\alpha +\left(\frac{1}{2}+\frac{3}{2}i\right)e^{i\alpha }+\left(\frac{1}{2}-\frac{3}{2}i\right)e^{-i\alpha }-\frac{81}{10}=0\right)\text{ or }\left(o_{0}=\frac{\log_{5}\left(7\right)}{2l}\text{ and }l\neq 0\text{ and }o=0\text{ and }\alpha +\left(\frac{1}{2}+\frac{3}{2}i\right)e^{i\alpha }+\left(\frac{1}{2}-\frac{3}{2}i\right)e^{-i\alpha }-\frac{81}{10}=0\right)\text{ or }\left(l=\frac{\log_{5}\left(7\right)}{2o_{0}}\text{ and }o_{0}\neq 0\text{ and }c=0\text{ and }o\neq 0\text{ and }g_{3}\neq 0\text{ and }\alpha +\left(\frac{1}{2}+\frac{3}{2}i\right)e^{i\alpha }+\left(\frac{1}{2}-\frac{3}{2}i\right)e^{-i\alpha }-\frac{81}{10}=0\right)\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{-2lo_{0}+\log_{5}\left(7\right)}{2cg_{3}o}\text{, }&o\neq 0\text{ and }g_{3}\neq 0\text{ and }c\neq 0\text{ and }\cos(\alpha )-3\sin(\alpha )+\alpha -8.1=0\\x\in \mathrm{R}\text{, }&\left(o_{0}=\frac{\log_{5}\left(7\right)}{2l}\text{ and }l\neq 0\text{ and }g_{3}=0\text{ and }\cos(\alpha )-3\sin(\alpha )+\alpha -8.1=0\right)\text{ or }\left(o_{0}=\frac{\log_{5}\left(7\right)}{2l}\text{ and }l\neq 0\text{ and }o=0\text{ and }\cos(\alpha )-3\sin(\alpha )+\alpha -8.1=0\right)\text{ or }\left(l=\frac{\log_{5}\left(7\right)}{2o_{0}}\text{ and }o_{0}\neq 0\text{ and }c=0\text{ and }o\neq 0\text{ and }g_{3}\neq 0\text{ and }\cos(\alpha )-3\sin(\alpha )+\alpha -8.1=0\right)\end{matrix}\right.$$