Once you get yourself familiar with how Elliptic-curve Diffie–Hellman key exchange scheme works
That's a lot to ask, and I don't expect 99% of the Bitcoin users to ever fully understand it.
it becomes much easier to understand the idea of silent payments and other similar cryptographic privacy-enhancing methods of obscuring transaction processes in the bitcoin network.
I can have a general idea, but I don't have the illusion I'll ever fully understand all the details of cryptography. And I think that's okay, we don't need to fully understand it to be able to use it.
My layman summary: Silent payments allow me to post an "address" on a public website, and someone can pay me without anyone else knowing they paid me. If that's correct, this is brilliant!