So I keep installing the nVidia driver through this thing and it tells me to restart and when I do the system is still using the intel driver as the default graphic card
So... How do I make the switch to the nVidia one ?

Also these are the available driver on my laptop when I type the lspci -k | grep -A 2 -i "VGA"

This is probably a stupid question but have you actually installed Solus or do you run it from the Live ISO ?

    16 days later

    Try the following in a terminal (assuming you're using the current (default) kernel):
    sudo eopkg it nvidia-390-glx-driver-common nvidia-390-glx-driver-current nvidia-390-glx-driver-32bit
    This should install the appropriate GPU driver for your GT 525M.