This message was posted on behalf of Intel Corporation
Hello furryluci ,
Thank you for contacting the Intel community.
I can confirm that the Intel HD Graphics 5500 support multiple displays in extended mode.
The reason why you cannot get the second display to work is because of the adapter that you are using, Intel does not validate adapters, what Intel validates is straight connection, in this case for you to have the second display working you will need to connect an HDMI from the laptop to the HDMI on the TV/monitor or VGA from the laptop to the VGA on the TV/monitor.
I understand that the HDMI on one of the ends is damage but please bear in mind that HDMI is digital and VGA is analog so the signal will not pass through in this case.
You could try an active converter HDMI to VGA, you can check here:
This is an adapter that will be able to convert the digital to analog but again we cannot guarantee full functionality since it has not been validated by Intel.
NOTE: This link is being offered for your convenience and should not be viewed as an endorsement by Intel of the content, products, or services offered there.