Is there a way to clean this white shirt: have been washed with black clothes changed colour?

I got a white T-shirt i really like that someone have washed for me and they made the mistake of washing it with Another dark piece of clothing (I think it was new black socks) and now my white shirt has some ''black spots'' on it. How can make them disappear? and Also, do they do that to the cleaner store ?Is there a way to clean this white shirt: have been washed with black clothes changed colour?
rit dye sells a product called color remover that's specifically for that problem follow the instructions and your white shirt will once again be white with no damage.Is there a way to clean this white shirt: have been washed with black clothes changed colour?
There is 2 solutions that I know of. 1--you can go out and buy white dye and redye the T-shirt white. 2--you could try washing it by its self in the washer/small load/ with maybe 1/4 cup of bleach or a little less. Do not add more then that because to much bleach will turn your T-shirt yellow. Do Not dry in dryer. Let air dry until you are sure all of the stain is gone. Once the shirt is dried in dryer the stain is pretty much set. Good Luck!!