Well, this is possible because we have two brains, really. Not exactly two brains, but two hemispheres of the brain, the left and the right. Most of the time, however, we operate with the left hemisphere. When we work, do calculations, earn a living, drive and deal with the world around us, we are using the left hemisphere, while the right takes a rest. Performing management functions is a left hemisphere job, while leadership is basically right-hemisphered.
Great things happen when both hemispheres work together.
Albert Einstein was known to have deliberately done just that. Relaxing is the simplest form of meditation. Praying is another. Other ways of meditation include taking up yoga, Transcendental Meditation, chi-kong, Silva Mind Control, Buddhist meditation, etc. When we meditate, our brains relax and activate the right hemisphere, thus enabling us to see problems from the creative dimension.