If you want to look for a GPUs compatibility with your system, look out for 3 main things,
1. size
2. PSU
3. bottlenecks
1. The size of the GPU is important. If you have a small case and a big GPU, it definitely wouldn't fit, so check the GPU's measurements and measure how much room you can spare for a GPU
2. Your Power Supply, like all other components, can affect the performance of your PC. If you're looking for an entry-level GPU, a 400 watt PSU would be sufficient, move up the ladder, and you'll find your PC begging for a 500-600 watt PSU.
3. I'm not entirely sure how to specifically check if bottlenecks would occur, but basically, your CPU should be of the same price or tier as your GPU. The i3-4130 goes well with the HD 7750.