In the article, On of the equation of motion for the gauged fields of the gauged WZW model is
\[A_+ = (g^{−1}\partial_+g + g^{−1}A_+g)_\mathfrak{h} .\]
(This is equation (5.8) and the equations of motions are at (3.20) )
How can I solve this equation for \(A_+\)?