“We need to get this resolved as soon as possible.”
There's a bug in your company's website. You send an email to the web development team and tell them about the problem. You add that it's very urgent.
We need to get this resolved as soon as possible.
If you're in charge of a group, or if you feel really confident in your opinion, you can tell people "We need to ___":
We need to get to work. We don't have a lot of time left.
We need to do the best that we can with our current budget.
"Resolving" a problem means finding a solution for it. "Resolving" a question means finding an answer for it. When you have a serious problem or an important question, you probably want to "get it resolved" quickly:
We need to get that resolved soon.
People also use the phrase "have ___ resolved":
I'll try to have it resolved by the end of the week.
People use the phrase "as soon as possible" to talk about things that need to be done quickly:
Please call me back as soon as possible.
I need an answer as soon as possible.
When you use this phrase to talk about something that's not very urgent, people may think that you are being impatient.
Sometimes "as soon as possible" is shortened to the acronym "ASAP".