Memory Issue with Samsung Ativ Book 9, Replace RAM???

Hi all,

My problem is that I have a samsung ativ book 9 plus, model Np904x3g-k06. It has a intel 4200u processor/ 4 gigabytes of 1600mhz, SODIMM RAM, and its been having memory issues, I've done a clean install of windows and run the memory diagnostic tool and there is problem with the memory because of said Windows memory diagnostic telling me so. If I am correct this indicates it is a hardwear problem, not a driver issue? I know there are 2 more ram slots available and I also know the original ram is soldered on so it can't be removed. My question is, if I were to add an extra 4 GB of RAM (is this even possible?) would that help solve my BSOD memory management errors, and if so, how would I go about it. I really don't want send my laptop back to samsung for them to charge me an arm and a leg.

Thanks for any help.