you can but it straight from ifixit here: MacBook Pro 15" Unibody (Mid 2009-2010) Battery or from Amazon here: http://www.amazon.com/Original-Apple-020-6380-A-661-5211-661-5476/dp/B008N2UK66/ref=sr_1_2?ie=UTF8&qi...-2&keywords=2010+macbook+pro+15+battery
you may have broken the board, or the LCD may have come that way. try your original LCD/digitizer and see if it has the same problem. If it does, your board is either broken, or the connector isn't seated correctly