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There is a formula for the solution to a general cubic equation. I don't know it, but it's immensely complicated. Taking the cube root is the same thing as raising it to the one-third power. In English, it basically asks, "What can I multiply by itself twice to get this?" Perfect cubes you can generally find by trial and error, or if you have an awesome calculator or access to a computer you can find them, and non-perfect cube roots, that way.
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