To put it another way chess would be solved if we knew what conclusion best play from the position would reach. Whether it be a win for white, a win for black, or a draw. We would also know the fastest way to reach that conclusion for the winning side and the longest way to hold that conclusion off for the losing side.
Some endgames have already been solved. All 3 piece and all 4 piece endgames for example. Some of these are really not relevant however, because they are so lopsided it was rather useless to solve. If you want to play around with some of these EGTB visit
Robert Hyatt's site.