Unity 3D closes right after showing splash

Hello,

my fresh installation of Unity 5.3.1 isn't working properly. After opening, I can see splash for about split second and then it disappears and Unity itself never opens again. It's not even listed in processes. This behaviour remains same even after restart of OS. I've tried installing different versions, but the reaction was same. What can cause this issue? There might be a chance that this is not Unity's fault, because recently my PowerDirector was behaving the same. Thanks for help in advance.

I'm running 64-bit Windows 7 Professional.