Fully-balanced steady-state free precession (bSSFP) is clinically useful because of its high SNR efficiency, imaging speed and unique T2/T1 contrast. A geometric solution to bSSFP has been derived and provides a simple and intuitive understanding of how the complex steady-state signals are formed. However, T1 and T2 relaxation has generally been ignored. In this work, we present an exact geometric solution to the bSSFP signals by including the T1 and T2 relaxation effects. The results are consistent with those based on matrix calculations, and are useful in understanding different aspects of bSSFP signal behavior.