Support Dual Core

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http://androidforums.com – My service provider is only selling this phone with the dual core processor, how does this stack up to the quad core?? I've also heard some problems with this phone are constant overheating and a draining battery life. Are these problems only apparent using the quad core?? If I do pick up the dual core, will I have better luck with overheating?? Im new to smartphones and androids, any advice would be great. (General)