Find all the solutions to 3x3 – 6x2 + 30x – 20 = –20.

Add 20 to both sides to get 3x³ − 6x² + 30x = 0. Factor out 3x: 3x(x² − 2x + 10) = 0, so one solution is x = 0. For the quadratic, the discriminant is (−2)² − 4(1)(10) = −36, giving roots (2 ± 6i)/2 = 1 ± 3i. Thus the solutions are 0, 1 + 3i, and 1 − 3i, which is choice A.

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