As a next step, try this in case the mobo cannot figure out what to do with two video outputs to work with. Shut down your machine and remove the video card from the PCIe slot. Connect your video cable to the mobo's rear HDMI output socket. Now, just to be sure, follow this sequence to reset the BIOS to default state, which should include using the mobo video system.
1. With your machine shut down, unplug it from the wall. Open the case and find the backup battery, a silver disk about the size of a quarter in a plastic holder. Very close to that look for a thing to RESET the BIOS. This often is a set of three pins with a little jumper on the first two. On some mobos it is just a pushbutton. NOTE how the battery is installed in its holder - which side out. Remove the battery, then activate the Reset thing. If it's just a push button, push and hold it for a few seconds. If it is a set of pins, move the jumper from Pins 1-2 to join Pins 2-3 and leave it there for 5-10 seconds, then return it to the original location. Now re-install the battery the correct way. This should have reset the BIOS and its configuration memory to factory default settings.
2. Close up, plug your system back in, turn on your monitor, and start the system. Watch the monitor. It should show you some stuff going through the POST process. IF it does, you have success so far and you need to do another step RIGHT AWAY. You must enter the BIOS Setup screens, and usually this means using the "Del" key during the POST process. To be sure this works, I normally hold that key down until the BIOS Setup opening screen shows. If you are too late, and the system actually completes the POST process and starts booting from the HDD, you can just shut it down and reboot again, using the "Del" key as soon as it starts.
3. If you get into BIOS Setup this way, go to the last screens that offer you how to exit from BIOS Setup. Look there for options on loading complete BIOS settings, because sometimes just the Reset process is not quite enough. Choose to load either Factory Default, or maybe even better, Optimized Default. This will load a complete set of reliable default BIOS settings.
4. Now, IF you know of some particular customization setting in BIOS Setup that you need - like, setting the device to Boot from - find that Setup page and change it to what you want. When you have made all the setting changes you need, remember to SAVE and EXIT. This will reboot your machine with the new settings.
5. IF you get this far, now you want to switch to your video card. So, BEFORE shutting down completely, reboot and go into BIOS Setup again. In there, find where you can tell it to use a video card in your PCIe Slots, instead of the mobo system, and make that change. SAVE and EXIT again, but as it tries to start up just shut it down completely. Unplug your machine and install the video card again, then close up and plug in. Connect your monitor to the video card's output. Turn on, and check that you DO get a proper display on the monitor and it boots.
If all this fails - that is, in Step 2 you get NOTHING still on your monitor, then there is something wrong with your mobo, maybe with its video output system. So far you know your monitor is OK, but the mobo cannot display anything on TWO known-good monitors. With the Reset process done in Step 1, a good mobo certainly ought to put out a signal to a monitor.