"exploring the idea of" is a correct and usable phrase in written English.
For example, you might write, "In this paper, I will be exploring the idea of using plant-based fertilizers in urban gardens."
On another, it's exploring the idea of a female God.
In 1958, Khrushchev was exploring the idea of "peaceful coexistence" with the United States.
Participants were invited to make and post signs exploring the idea of a "double standard".
"I'm exploring the idea of the 'female loser,' which is new territory for pop.
Meanwhile, Timberland is exploring the idea of buying organic cotton from Haiti.
We could also spend a little time exploring the idea of collaboration between journalists and readers.
It is exploring the idea of naming tube stations after corporations, he says.
In a way, I'm exploring the idea of how much we remember when we cover the image itself.
She was exploring the idea of a movie with no plot, something nonlinear and indeterminate — a "Zeitgeist" film.
Many reform advocates are exploring the idea of a nonpartisan commission to set visa numbers for industries that need workers.
Last month, the Washington Post said it was exploring the idea of rolling one out in 2013.
