-Reinstall DirectX.
1:go to C:\Program Files (x86)\Origin Games\Battlefield 4\__Installer\directx\redist
2:Find file named DXSETUP.exe, right lcik and select RUN AS ADMINISTRATOR . Install it. It should update your DirectX install.
3: You might need to reboot computer first.
4: try to launch game.
Still doesn't work then....
-Update your Microsoft .NET framework.
http://www.microsoft.com/en-us/download/details.aspx?id=17851
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