If the domain of the function\(f(x)={\sec }^{-1}\left(\frac{2x}{5x+3}\right)\) is \([\alpha ,\beta )\cup (\gamma ,\delta…

If the domain of the function\(f(x)={\sec }^{-1}\left(\frac{2x}{5x+3}\right)\) is \([\alpha ,\beta )\cup (\gamma ,\delta ]\), then \(|3\alpha +10(\beta +\gamma )+21\delta |\) is equal to ___

[JEE Main 2023, 10 Apr (Shift 2)]