How to display an image from the built-in video card and from the discrete one at the same time?

Question

Multimonitor

Good afternoon everyone!
In short, I bought myself a new computer. I thought when I got home I would connect a monitor and a TV, so that, for example, a friend could see what I was doing. So I come, and on the video card there is one DVI output (new), and the second HDMI. And I have an old monitor and it has VGA. It's time to buy an HDMI to VGA convector. But that's not the point, the TV set also has HDMI and only it. I found an HDMI input on my mother and connected it to it. Nothing. How can I deal with the problem, please tell me and explain. I know a couple of guys that did so that one monik to the video card, the other to the mother and it worked for them. Maybe in the BIOS you need to conjure something. I ask for help!!!
Thank you for your attention.
Proc : CPUID Intel(R) Core(TM) i5-6400 CPU @ 2.70GHz
Mother : Gigabyte GA-B250M-DS3H
Video card : nVIDIA GeForce GTX 1050 Ti Video adapter
Integrated graphics : Intel HD Graphics 530

Answer 1

on the video card 2 outputs -DVI and HDMI
to a DVI-monitor
to an HDMI -TV
and you will be happy
PS in the settings of the video card, specify several monitors (TV is also considered a monitor)

Answer 2

... and the third DisplayPort output and according to the specifications for all 1050 Ti, they all support from 3 monitors, i.e. all three outputs are operational at the same time.
Therefore, there is an option to stick to DP and they definitely have an adapter to HDMI, because it was created for this. And the cable is available in terms of buying (although it costs about 1000r).
A solution with an HDMI splitter is also available - to divide the image immediately after the output from the video card. In the case of screen cloning, this is also an option. But to expand the desktop to both then it will not work.
There was also a converter-splitter hanging on the network, which HDMI pulls through and cuts VGA from it side by side to the heap. I didn’t see a worker, but I saw a soldered circuit, and logically it should work ... but not without the help of a DAC, of ​​course.
As for the DVI-D > VGA adapter, I have strong doubts. I've never seen this in action before. A passive adapter is generally a mystery (digit to analog without a DAC ... hmm .. suspiciously), and the converters are somehow elusive, I even tried to order twice and was sent to await delivery to the warehouse. I've been waiting for two months already. There are vague doubts.
PS To make it easier to search: DVI-D - digital, DVI-A - analog, DVI-I - digital and analog.