The phrase "a widespread problem that" is correct and usable in written English.
You can use it when discussing an issue that is prevalent or common across a large area or among many people.
Example: "Climate change is a widespread problem that affects ecosystems and human societies globally."
Alternatives: "a common issue that" or "a prevalent concern that".
Violence against women remains a widespread problem that is still not dealt with effectively by the police or the court system.
Before it has even been made public, it has set off three investigations into charges of corruption, a widespread problem that has severely hindered improvement in Iraq after the war.
The family believe they have been victims of a widespread problem – that summer-born children are too often being denied the flexibility they're supposed to have under a government code of conduct.
International experience shows that college dropout is a widespread problem that occurs in public and private universities and has social costs that justify public policy actions that tend to their decline.
This summer, in response to charges that New York City schools push out tens of thousands of students who have fallen behind their expected grade -- and put them in bureaucratic categories where they will not be counted as dropouts -- Chancellor Joel I. Klein acknowledged that there was a widespread problem that was a "tragedy" for many students, and promised to fix it.
But it's a widespread problem that can be largely attributed to Twitter's nonchalant, "laissez-faire" approach to account security.
"But they'll try to put on a big show over a so-called widespread problem that doesn't exist".
DOI: http://dx.doi.org/10.7554/eLife.04803.001 Memory loss in older people is a serious and widespread problem that affects up to 50% of those over the age of 85.
Brant Widgen is so good at his job that you are not aware of the widespread problem that is cats "photo-bombing" stunning images of space.
Apparently it's a more widespread problem that you likely know.
"Flight delay is a serious and widespread problem that places a significant strain on the U.S. air travel system and its customers," he said.
