Does any problem really stay solved?
Take the issue of human waste and sanitation. We ‘solved’ the problem of typhus and illness by coming up with concept of toilets and indoor plumbing. Great. But then we created downstream issues of pollution and filtering and water supply, and also created major issues with lead pipes, which are dangerous. So we have a dozen additional issues.
Or take transportation. We ‘solved’ transportation by inventing the idea of railroads. But that led to train wrecks, air pollution, the need for coal, coal mining, environmental damage, and coal ash disposal.
Which then led to the internal combustion engine, need for gasoline, pollution, highways, huge cities, suburban growth, forests being torn down, and so on.
So the real answer to your question is that (a) we may solve one problem,. but (b) that gives rise to dozens more.