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Solving a cubic root equation algebraically and checking the solution.

Step-by-step solution to the equation ∛(x³ - 3x² + 2) = x - 1, showing cubing both sides, simplifying, and verifying the solution x = 1.

Step-by-step solution to the equation ∛(x³ - 3x² + 2) = x - 1, showing cubing both sides, simplifying, and verifying the solution x = 1.

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