The most recent of redundant comments added has been answered again.
Locking thread.
Please make a new thread if you are having trouble.
Please include a DXDiag report and description of the problem your having and what you have tried.
http://answers.ea.com/t5/STAR-WARS-The-Old-Republic/Guide-Posting-a-DxDiag/td-p/4832663
Upload the txt file here or use www.hastebin.com and make a URL.
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If all you have is Intel HD Graphics without any nVidia or AMD GPU. Update your drivers from intel. It's an uphill battle the Intel isn't likely to win.
https://downloadcenter.intel.com/
nVidia drivers
http://www.nvidia.com/Download/index.aspx?lang=en-us
AMD drivers
http://support.amd.com/en-us/download
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If you have an nVidia card / AMD in a laptop, you need to force the dGPU to work.
http://help.ea.com/en/article/setting-up-a-graphics-card-gaming-profile/
nVidia
http://imgur.com/a/6KJBH#87BGUaE
nVidia Control Panel -> 3D Settings -> Program Settings -> Add Program (PvZ:GW2.exe) -> High Performance Processor
AMD
Called "Switchable Graphics" in Catalyst. Make sure PvZ is set to high performance.
