Haug and Tatum have recently solved the Hubble tension within a type of Rh = ct cosmology using an intuitive, smart trial-and-error search algorithm. The trial-and-error algorithm demonstrates that one can start with the measured CMB temperature and a rough estimate of H0. Based on the algorithm, one ends up matching the entire distance ladder of the observed supernovas by finding a value for H0. However, this is a numerical search procedure, even though it can be completed in a fraction of a second on a standard computer. Here, we will demonstrate that the trial-and-error numerical method is not needed and that the Hubble tension can be resolved using the same Haug and Tatum model through a closed- form solution. This means one simply solves an equation to find the correct H0 value. This is possible because an exact mathematical relation between H0 and the CMB temperature has recently been established, in combination with the linearity in an Rh = ct model.