If domain of the function \( \log_{e}\!\left(\dfrac{6x^{2}+5x+1}{2x-1}\right)+\cos^{-1}\!\left(\dfrac{2x^{2}-3x+4}{3x-5}\right) \) is \( (\alpha,\beta)\cup(\gamma,\delta] \), then \( 18(\alpha^{2}+\beta^{2}+\gamma^{2}+\delta^{2}) \) is equal to ________.
