Unless you have Syndicate Rychart or are in the mid-late game with enough economy that its not crippling you have to just ride it out.
Best option for all negative politics is to try to avoid them by keeping positive politics in the treaty slots as much as possible. If I can spare the credits I always subsidize techs like trade summit to try and keep trade routes up
I've been encouraging good relations with Trade Summit or Trade Alliance.
Balancing EP between factions.... that's new to me.
Cory Trese, This is my third game and i haven't used the Advisor since the tutorial. If accessing the advisor for advice on politics isn't already part of the tutorial, maybe it should be. Though, to be honest, that would be easy to forget with all the details to remember. It would be cool if the Advisor popped up when political conflicts emerged during the first few games... maybe that could be a setting, that would stay on until the player turned it off.
CdrPlatypus, what type of cost was that? Also, where did you get that info?