It really depends on your definition of solvable. Chess is asbolutely theoretically solvable. As for practically solvable? I think it's pretty clear that only quantum computing will bring about this possibility.
As for the games beauty and charm, it will be thoroughly unaffected. Computers already play the game at a far superior level to humans and I don't feel that has diminished the game as people play it in any way. Solving the game will be no different.
I work in some issues on physics, correlated to what is known as Quantum Information Science (QIS), as it is know one of his central topics is quantum computation. While in classical computation data analysis is made trought bits whose contains a yes o non response. I think 1--yes--5Volts 0--Non--/ or so (actually i'm not sure XD)
As quantum computation uses qubits for this (whic can contain a 1 or a 0 or any possible superposition of 1 or 0) it implies a languege for the logic that can carry with calculus which may last ages of the universe to be processed within the frame of classical information
As it's already solved Chess for 3 to 6-7 pieces (Nalimov tablebases) also have been solved chess in a 3x3 board.
Thus if a quantum computer is brought to fruit. I guess there is no problem to solve chess with the 32 pieces. That is determinate if supposed both sides playing chess perfectly white initial advantage is it enough to win the game or if it is a draw.
Would this, in some mode, suppose the end of a part of what make this game that charming?