You cause your brain’s filter (known by its fancy name as R.A.S. – Reticular Activating System), to adjust its focus toward helping you accomplish the goal you desire. Your brain filters out most of the information that it is bombarded with, in order to protect your sanity, and to help you survive/accomplish the things you have deemed important. The famous example is where you decide to buy a new car and suddenly begin to see the same car everywhere in great numbers. The amount of these cars on the road didn’t increase massively overnight – what happened was that your filter suddenly adjusted itself to find/accomplish the things that are foremost in your mind. In this case the car you are fascinated with/focused on. Some folks call this Law Of Attraction, I personally enjoy the scientific explanation the most. So once you create a goal, visualization, intention, your mind’s filter begins to filter out all that is unhelpful to achieving your goal and filters in all that is helpful to achieving your goal. Often ideas, strategies, and solutions will simply pop into your mind as your supercomputer of a brain hyper-focuses all of its power on solving the problem you are working on. Is it magic? It’s pretty close to it.
