Consider how you phrased this statement:
man can do nothing else to earn his salvation other than believe in the one who died for our sins
Somehow, I'm sure you would agree that believing is not something that EARNS salvation, but it ended up getting worded that way. For if believing is in any way connected with earning salvation then faith is a work and is no longer faith, and grace is no longer grace ... which means that He would NOT get all the glory.
I used to think that if I just worded my sentences about faith a little better that it would clear up any misunderstanding that I was suggesting that faith was a "work". But try as I may it always came out sounding the same. It turns out that the problem was not a matter of semantics, but in an underlying confusion based upon assumptions left over from the world's mindset and held strongly to by the "church".
The reality is that salvation IS by grace through faith and it IS those who believe who are saved. I think the confusion in this area comes from trying to retro-fit "faith" into the realm of understandable - into an "act". But it is a miraculous reality to believe in Christ because it goes against every fiber of our old life and mindset. The attempts to get a handle on faith have turned it into little more than an intellectual decision. In doing so, we have created a "faith" that is controllable and can be produced at will ... when WE think we need it. We are afraid that if we cannot control faith then we would be only robots. But this fear is unfounded because it is not built upon the grace of God but upon natural wisdom's reaction to natural wisdom. haha!