Your motherboard has one HDMI and one DVI port. You may have to modify connector settings because by default MacOS thinks all of your connectors are DisplayPorts if you're using Platform ID 0x3E9B0007.
The procedure described in my
General Framebuffer Patching Guide for Black Screen may be difficult in your case because you have neither a discrete GPU nor a DisplayPort connection.
In this case it becomes a guessing game, but an
educated guessing game.
Please review the general procedure in that link and try the following connector settings:
Index 1, BusID 0x04, Pipe 18, Type HDMI
Index 2, BusID 0x02, Pipe 18, Type HDMI
Index 3, BusID 0x00, Pipe 0, Type DUMMY
Index -1, BusID 0x00, Pipe 0, Type DUMMY
Save these settings to your config.plist and reboot. Then try unplugging and re-plugging the HDMI cable. If HDMI does not turn on, then boot from USB install disk and try the next set of settings:
Index 1, BusID 0x02, Pipe 18, Type HDMI
Index 2, BusID 0x04, Pipe 18, Type HDMI
Index 3, BusID 0x00, Pipe 0, Type DUMMY
Index -1, BusID 0x00, Pipe 0, Type DUMMY
And if this also fails, then try this:
Index 1, BusID 0x01, Pipe 18, Type HDMI
Index 2, BusID 0x02, Pipe 18, Type HDMI
Index 3, BusID 0x04, Pipe 18, Type HDMI
Index -1, BusID 0x00, Pipe 0, Type DUMMY