Is it your idea, to tackle it or is someone else pushing for the problem to be fixed?
Is there anyone who knows for sure if it can be done or not?
Does it sound reasonable, within the known laws of physics/engineering that the problem is solvable?
Is that problem that unique that you can't just google it?
Make a list of all the possible attempts to solve it; ask all parties involved if they have other ideas or suggestions, and then time box each one of them.
Then start attempting each option.
If it takes you longer, document what you tried and either move on or ask someone else if it's worth it to continue that approach.
For the anxiety:
Why are you anxious about?
In the worst case scenario where the problem is not solvable, what does that mean to you?
Are you anxious you won't do it fast enough?
Or you won't do it in the best way?
Or that you're not capable to do it and someone else is capable of doing it?
Is it your idea, to tackle it or is someone else pushing for the problem to be fixed?
Is there anyone who knows for sure if it can be done or not?
Does it sound reasonable, within the known laws of physics/engineering that the problem is solvable?
Is that problem that unique that you can't just google it?
Make a list of all the possible attempts to solve it; ask all parties involved if they have other ideas or suggestions, and then time box each one of them.
Then start attempting each option.
If it takes you longer, document what you tried and either move on or ask someone else if it's worth it to continue that approach.
For the anxiety:
Why are you anxious about? In the worst case scenario where the problem is not solvable, what does that mean to you? Are you anxious you won't do it fast enough? Or you won't do it in the best way? Or that you're not capable to do it and someone else is capable of doing it?