After months of trying to figure this out, I found that Solus doesn't have a dhcp-server package for me to install.
Using the rpm command to try and install a dhcp-server rpm from major rpm-based distributions didn't work, so I had to consider building one from source.
I had issues with building the dhcp source, so tried ISC's new version called kea. The Boost packages I installed in Solus caused weird build issues, saying that it couldn't find libraries that were already installed, so I decided to build Boost from source.
A word of advice, don't build on a NAS drive, because you may have to create symbolic links manually.
After building and installing Boost, I was then able to build and install kea.
All that remained was to edit kea-dhcp4.conf for my setup. After building the source taken from here, my kea didn't use systemd, but uses keactrl to start, stop or reload the kea service. So the problem I had was because Solus doesn't appear to have a dhcp-server package available.
I hope this helps someone.