The most common and most likely answer to this crossword clue is the 10 letter word BRAINSTORM
I've seen this crossword clue in The Times
B
R
A
I
N
S
T
O
R
M
More clues leading to the result BRAINSTORM
- Matron’s rib broken? This might solve the problem
- Roman Brit's strange aberration
- Be creative using black cats and dogs?
- Together come up with something smart, or bin rubbish
- Think British must get terrible weather
- American’s bright idea for British power shower?
- Pool ideas of weather-beaten undergarment?
- Moment of bewilderment as underwear hit by lightning, perhaps?
- B___ awful weather? Fancy, out of nowhere!
- British shower to come up with ideas
Buddy explains!

The straight part
We know that "This might solve the problem" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case this might solve the problem = brainstorm.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does BRAINSTORM mean?
BRAINSTORM noun- A sudden thought, particularly one that solves a long-standing problem.
- A session of brainstorming, investigating a problem to try to find solutions.
- An unexpected mental error.
- To investigate something, or solve a problem using brainstorming.
- To participate in a brainstorming session.