If domain of the function log_e((6 x^2+5 x+1)/(2 x-1))+ cos^-1((2 x^2-3 x+4)/(3 x-5)) is (α, β) ∪(γ, δ], then 18(α^2+β^2+γ^2+δ^2) is equal to ____.

If domain of the function $\displaystyle \log _e\left(\frac{6 x^2+5 x+1}{2 x-1}\right)+\cos ^{-1}\left(\frac{2 x^2-3 x+4}{3 x-5}\right)$ is $\displaystyle (\alpha, \beta) \cup(\gamma, \delta]$, then $\displaystyle 18\left(\alpha^2+\beta^2+\gamma^2+\delta^2\right)$ is equal to $\displaystyle \_\_\_\_$.