Some problems in the workplace are easy and quick to solve. These are the normal, routine tasks, the absence of which will make you question whether it is a “workplace.” Some examples are: making a phone call, sending email, having a meeting. Yes, these examples are easier in some parts of the world, but difficult in other parts, but stay with me, don’t get distracted!
Some problems are moderately difficult, but still achievable with a little effort. Some examples are: defining a problem, setting priorities, drafting a value proposition, and getting budget approved for important tasks.
Some problems are very difficult, sometimes maddeningly so. Some examples are: stopping bad investments sooner than later, not letting your ego get in the way, recognizing dysfunctional behavior in yourself, and getting dysfunctional co-workers to change.
To me the most difficult problems are those where you know the problem, you (and your co-workers) are convinced of the need to change, you (and your co-workers) agree for the need for change, you (and your co-workers) agree to take action, but no action takes place. Inertia (whether in you or your co-workers) hangs like a dead weight around your neck and ankles.
Once you determine such a problem is worth solving, or worst case, worth exploring, put your head down and systematically work the problem. There is a time and place to take a business decision to cut your losses, but only after you have done your best to understand and improve the situation.