Sketch the graph of the following. Label the axes intercepts. State the coordinates of the centre.

9x^2 + 25y^2 - 54x - 100y = 44

I've attempted to do the above and got the following:

9x^2 + 25y^2 - 54x - 100y = 44

9x^2 - 54x + 25y^2 - 100y = 44

9(x^2 - 6x + 9) + 25(y^2 - 4y + 4) = 57

9(x - 3)^2 + 25(y - 2)^2 = 57

((x - 3)^2)/25 + ((y - 2)^2)/9 = ...

What did I do wrong? Would someone be able to provide complete working out to the above? If so, that would be appreciated!