I'm searching on the internet how to use result from, and I've found the examples:
His failure is a result of laziness.
His failure results from his laziness.
Are both correct? Is there a slight difference in meaning?
Both are possible. I'd have rather said (AE speaker)
"His failure is a result of his laziness"
The 2nd option you list (results from) is correct but isn't great and refers to something general, not a specific instance of failure.