Should I vote to "delete" one of my posts if it gets no replies, to avoid it affects my accept rate?
If not, what is recommended way to avoid negative impact on accept rate?
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If your post doesn't get any replies, it doesn't count against your accept rate. How could you accept something that isn't there? There's nothing to worry about with it.
When you vote to delete your own questions without any reply, you are effectively deleting them. Consider that deleting too much questions have a negative effect, as far as I remember.
If your questions don't get any answer, you can offer a bounty on them. Remember you can offer three bounties on different questions at the same time.
New users should avoid doing this at all costs. While the exact algorithm is kept locked in the vault with the recipe for New Coke and the Colonel's 11 secret herbs and spices, it is generally understood that if a new user has three or more questions deleted within a short period of time, they will likely be banned from asking further questions by the system.