Hi guys so I have this differential equation
DSolve[{M'[t] == 1/4500 (660 - M[t]) M[t] - 10, M[0] == 100}, M[t], t]
which gives me a result
(300 (4 + Sqrt[71] - 4 E^((Sqrt[71] t)/75) +
Sqrt[71] E^((Sqrt[71] t)/75)))/(23 + 3 Sqrt[71] -
23 E^((Sqrt[71] t)/75) + 3 Sqrt[71] E^((Sqrt[71] t)/75))
that I need to get into the form (150 (b + a E^((Sqrt[71] t)/75)))/(c + 55 E^((Sqrt[71] t)/75)) and I need to find a,b,c I have tried solve always but no luck is there any command that I can use to find a,b,c?