$$\begin{align} a+2.27 &= \ln(33a-14) * b(33a-15) * (33a-14)^c\\ c+1 &= bc(33a-15)(33a-14)^{c-1} + 33(33a-14)^c\\ d &= (33a-15)(33a-14)^c \end{align}$$
Solve for a in terms of d. Or just establish a relationship between a and d.
I need to solve this equation because I was originally trying to optimize a function using Lagrange multipliers. Here are the equations that I narrowed the problem down to. I'm not sure how to solve for it because it's hard to eliminate variables.