In order to solve a 5x5 Rubik's Professor Cube, you'll need to, of course, already know how to solve a 3x3 Rubiks Cube. First, you'll need to get the centers solved first, then you pair the edges (with the algorithm 2D*, R, F', U, R', F, D'*), and solve parity (with the algorithm 2R*, 2B, 2U, L*, 2U, R'*, 2U, R*, 2U, 2F, R*, 2F, L'*, 2B, 2R*), then you continue to solve it just like a normal 3x3 cube until it looks brand new, out of the plastic box.