The spontaneous spreading of small liquid droplets on solid surfaces is examined with the objective of developing closed-form expressions for the spreading dynamics, both for the case in which there is complete equilibrium spreading, that is the equilibrium contact angle is 0-degrees, and for the case in which equilibrium spreading is incomplete. Such solutions are obtained using a simple hydrodynamic model. The results are consistent with the format of the universal Hoffman-Voinov-Tanner law (for complete spreading) and the modified Hoffman-Voinov-Tanner law for incomplete spreading. In the latter case, concurrence is found only when the dynamic contact angle is close to the equilibrium angle throughout the spreading process.