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Held out for that math at the end 💪

The quadratic "-b" solution is easily derived. The cubic solution I memorized in middle school and is a bit or work but manageable.

The quartic solution is a nightmare and involves a lot of refactoring into various different other forms until you reduce it to solving quadratics and cubics. The complexity is such that if a high school text book ever asks you to solve a quartic, you'd be better off guessing than applying the full algorithm by hand.