Number of solutions of ${\mathrm{x}}^2-2\mathrm{x}+2{\mathrm{cosec}}^2\mathrm{\pi x}+2{\sec }^2\mathrm{\pi x}+2{\tan }^2\mathrm{\pi x}=0$is _______

$$\begin{gathered} {\mathrm{x}}^2-2\mathrm{x}+2{\mathrm{cosec}}^2\mathrm{\pi x}+2{\sec }^2\mathrm{\pi x}+2{\tan }^2\mathrm{\pi x}=0 \\ {x}^2-2x+2(1+co{t}^{2}x)+2(1+{\tan }^{2}x)+2{\tan }^{2}x=0 \end{gathered}$$

$\begin{array}{r}{\mathrm{x}}^2-2\mathrm{x}+2+2{\cot }^2\mathrm{\pi x}+2+2{\tan }^2\mathrm{\pi x}=0\\ \Rightarrow (\mathrm{x}-1{)}^2+3+2{\cot }^2\mathrm{\pi x}+2{\tan }^2\mathrm{\pi x}=0\end{array}$
No solution.