How to Solve a Rubik's Cube and the Complicated Math Behind It

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I got my first Rubik's cube when I was around six years old. It was one of those with a quirky design of card faces instead of plain colors. Anyway, I wasn't able to solve a thoroughly scrambled Rubik's cube, and I never tried since.

Although it's quite a puzzle, there is a method of solving the Rubik's cube, which has been demonstrated in these two videos below:

Now, to understand how these came about, you can check out this article on Popular Mechanics explaining the deep math behind the algorithms of the Rubik's Cube.