  In this note, we explore the solution space of non-extremal black objects in
$4D$ and $5D$ ${\cal N}=2$ gauged supergravity in the presence of fluxes. We
present first order rewritings of the $4D$ action for a classes of non-extremal
dyonic and electric solutions with electric flux backgrounds. Additionally, we
obtain the non-extremal version of the Nernst brane in $AdS_5$ using a simple
deformation. Finally, we develop a new technique to deform extremal black
solutions in $4D$ to non-extremal solutions by an analysis of the symmetries of
the equations of motion.
