I added Eq 1 to 2 to remove the hv', and rearranged to have u' in terms of all other parameters, giving 2hv + E(1-u) = E'(1+u'), then subbed E' [where E'=m_0 / sqrt(1-u')] back in, and then have (2hv+E(1-u))/m_0 (set this equal to x) = (1+u') / sqrt(1-u'^(2)), then solved for u' in terms of x...