In quest of (something) adjective phrase
To be in search of something.
Ross's been in quest of a new job.
I'm in quest of a reasonably priced restaurant. Any recommendations for me?
I went to the library in quest of literary books for my essay.
They moved to another city in quest of a better future.
If a person "casts around for someone or something", he/she looks around to find something/someone, or search for an idea.
Try to look everywhere for someone or something
To look around for something or hunt for something.
To carefully look everywhere for someone or something.
If you say that you root around something, you mean that you shuffle through it to search for something there.
If you're off your trolley, your ideas or behaviour are crazy or insane.
You really think whether i'll pay the debt. You're off your trolley