I am looking at a change of career.

I enjoy being creative and coming up with solutions to "problems". What are some jobs where I would be required to be creative to solve technical or science related problems?

I don’t really want to sit around and do math all day, I would prefer to be brainstorming/being creative/inventing things/thinking outside of the box.

I’d like to create new forms of energy, participate in creating new space technologies and generally help make things that seem science fiction become a reality. How do I go about doing this?

Engineering.