There is no realistic way to repair a processor itself. The only viable solution is to replace it. You should be able to find used Phenom x2/3/4s fairly cheap online.
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=== Update (01/17/2017) ===
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Also, most AMD FX series processors do not include integrated video capabilities. These CPUs were designed for gaming systems with dedicated graphics cards. There is a possibility there is, in fact, nothing wrong with the processor.
There is no realistic way to repair a processor itself. The only viable solution is to replace it. You should be able to find used Phenom x2/3/4s fairly cheap online.