Making it seem like it was just your fate that day. Which if it was at-fault, it certainly wasn't. It sounds a lot better than "I am either negligent or incompetent and shouldn't be trusted with piloting a 2-ton hulk of metal."
If you checked your blind spot every time like you ought to, the blind spot detection is at best a minor additional safety backup. I see a lot of people relying on it instead of actually doing that, and the systems aren't perfect. (One good example: Someone else is starting to merge into your blind spot but hasn't gotten in the lane yet).