It looks like your system is currently running switchable graphics; this means that your computer runs Intel graphics and Nvidia at same time.
I am afraid this type of computers do not use generic Intel drivers, they require special drivers from the computer manufacturer in order to support Multi-monitor. I would highly recommend you contact your computer manufacturer for further assistance.
See here for more information:
Unfortuantely I have same problem exactly on my Dell laptop. But I plugged in an HDMI cable from tv to laptop--and then the Intel Graphics tool popped up . I selected as output the 2nd monitor (my tv)--then my PC screen went black. But nothing showed up on my tv. So I disconnected the hdmi cable to get my laptop screen back. Now the Intel options don't give me the choice to select my laptop as output display. If I plug the hdmi back in--laptop screen goes black again. Only option is to unplug cable. Apparently I have switch graphics that doesn't support another monitor. But why can I no longer find the option to set my laptop monitor as output when hdmi is plugged in? Afrqaid even if I download proper software, this setting will keep my screen black once I plug in hdmi cable again..
Please try updating your computer BIOS, this will interact with graphics controller video BIOS and update graphics drivers for your computer model, try this URL for driver updates: