"To explore this question" means to thoroughly investigate or examine the topic or issue being discussed in order to gain a better understanding or find possible explanations. Full definition
Several ways of exploring this question in a dynamic and interactive way - which engages with pupil's own views as well as enabling them to explore a range of beliefs including atheism. (tes.com)
We invite others to join us in exploring questions about how to provide the highest quality early learning and life experiences for children from birth through age five. (educareschools.org)
I did not have answers to these questions upfront, but I know I was able to get closer to some kind of answer by exploring the questions with my students. (blog.k-12leadership.org)