General Petraeus's Confession --WHY was it public?

It seems there is something fishy about the timing of General Petraeus's confession. Did O's people MAKE him confess and resign, in hopes he wouldn't have to testify? Did they threaten him with worse problems regarding prosecution and pension, etc., if he didn't step down before Benghazi hits the fan? Was either P or O hoping to distract from any errors of theirs re: Benghazi? Why is it ok for Clinton to skirt around but not a general? Clinton was Commander in chief, after all! Not that adultery isn't serious betrayal and risky for CIA as well as presidents, making them both vulnerable to blackmail-based decisions. But why is it a step-down offense for a general but not for the Commander in Chief? Why wouldn't the general just protect his wife as well as himself from the shame --and just quietly make up with his wife if he could --or quietly resign. Why the public confession? He seems genuinely contrite, but methinks somebody got to him --and it has to do with Benghazi. I think O's people wanted him to resign and want to imply eventually that any error in Benghazi was P's fault due to his distractions in the moral arena. Maybe someone put a million in an off shore bank account for P. Yes, I'm just speculating --but I smell a rat here! The public disclosure makes no sense.

"God is not willing that any should perish, but that all should come to repentance and have eternal life."--the Bible