The Insider Previews are created for those who signed up to test Microsoft Windows 10 operating system builds in development. By doing so you agreed to use your machines all rather computers to run Insider Builds in whatever condition. Meaning you might come across some errors along the way. Usually, most errors aren't detrimental to the hardware of your systems but they can be buggy at times, preventing you from using them with ease. When that happens you are surrounded with different ways of troubleshooting them - like the built-in troubleshooter at the 'Settings' and those you resort to by yourself online and otherwise. Whatever works for you can be best suited for solution.
Image showing HD Webcam error code 0xA00F4271(0x80004005)
However, when you have tried all methods available and still can't find a solution it becomes imperative to wait until the next build is released by Microsoft possibly with a fix. Before then you would have to report the errors to the 'Feedback Hub'. It is a Windows app used for reporting Windows 10 builds issues to Microsoft developer team. This is a robust and a quick way to get your error message across to the people responsible for creating the operating system. At the Feedback Hub you can see many other people's reports on many issues. Any one that is having the same problem like yours can be voted up by you rather than repeating the same post so that there can be a prompt fix.
If you can't wait for a fix and you are experiencing HD Webcam error code 0XA00F4271 (0X80004005) in previous build 16193 and the recent build 16199 this instruction is meant to solve it quickly.
Windows Key + R indicated in red
STEP 1: Press Windows Key + R to open 'Run' dialog.
Red arrows pointing to process
STEP 2: Type or copy and past regedit into 'Run' and click 'OK' to continue.
Image of red arrow pointing HKEY_LOCAL_MACHINE
STEP 3: At 'Registry Edit' double-click on 'HKEY_LOCAL_MACHINE' to expand it.
Red arrows pointing to process
STEP 4: Double-click on 'SOFTWARE' and on 'Microsoft'.
Image of red arrow pointing Windows Media Foundation
STEP 5: Next, double-click on 'Windows Media Foundation' to expand it.
Red arrow pointing to Platform
STEP 6: Click on 'Platform' to populate right-hand side pane of 'Registry Editor'.
Image of red arrows pointing to process
STEP 7: Right-click inside the pane to the right-hand side of your 'Registry Editor', select 'New' and select 'DWORD(32-Bit) Value'.
Red arrow indicating renamed Key Value
STEP 8: Rename 'New Value #1' to * 'EnableFrameServerMode' and close 'Registry Editor'.
*The 'Value data' is by default 0 and if there is anything other than that you should change it to 0.