How do I dissolve this face How do I dissolve this face into the surrounding face?

Whenever I try to dissolve it (Delete > Dissolve Faces) it gives me an error: "Can't create merged face"
Although it may seem as though having a complete flat Ngon is preferable, it is far better to keep the most basic shapes and not merge them together.

(Thank you to Duarte Farrajota Ramos for this)