HDMI problem

I use two monitors. I have one monitor with HDMI and another monitor
that uses DVI. The HDMI is primary.

I was using the computer and both monitors went blank. I found the
problem. My dog chewed the plastic off the HDMI end next to the
computer.

I replaced the HDMI cable and neither monitor came on. I pulled out
the Graphics card.

I can plug the DVI into the mobo and it works. When I try to plug in
the HDMI the second monitor switches from primary to secondary, but
the HDMI monitor won't come on. I can unplug the HDMI and the other
monitor becomes primary again.

How do I get both monitors working again and then how do I tell if my
Graphics card is bad?