In a word. Trust.
It’s that simple. You want to get the meeting over with, get back to work, back to being productive. You’ve got to trust your team mates. If they say they’ve got the problem, keep your mouth shut until they ask for help. Expect the same from them. (By the way, learn to ask for help. It establishes trust).
Don’t try to problem solve in large groups. It’s a waste of your time and others. Use your meetings to identify problems and whose responsible for fixing them. There are a 1,000 ways to solve any one single problem. Chances are, more than one solution will work. Don’t keep everyone from doing the enjoyable part of work by debating details only a few care about.
Trust your teammates, it pays exponential dividends.