Greetings everyone.
I´m going across this problem, that the most recent dev builds doesn´t want to work.
I have tried the following so far:
1- Checked for the latest updates available for Windows, and installed them.
2- Installed (and reinstalled) Visual C++ Redistributable 2015.
3- Did some bisecting.
The last working dev build for me is 4.0-8398. The build 4.0-8435 has this problem, so I assume that this bug must have appeared between these two builds.
The issue goes like this: I click on the Dolphin icon to run the emulator, the loading icon appear with the cursor (like if the emulator was loading), then it would open and close instantly. No crashes, no messages. I can´t think of anything else to do.
Please, I really need help. I don´t want to get hold back by this. 
Rig 1: Windows 10 Home | AMD A6-1450 @ 600/1000/1400 MHz | AMD Radeon HD Graphics 8250 | 4GB RAM | HP Pavilion TouchSmart 11.
Rig 2: Windows 10 Pro | Intel Core i7-2640M @ 780/2800/3500 MHz | Intel HD 3000 Mobile | 8GB RAM | Dell Latitude 6320.