Find all solutions to the equation 3 x cubed plus 12 x is equal to 2 x squared plus 8

Move all terms to one side: 3x³ − 2x² + 12x − 8 = 0. Factor by grouping: x²(3x − 2) + 4(3x − 2) = (3x − 2)(x² + 4) = 0. Thus x = 2/3, or x² = −4, giving x = −2i and x = 2i. These are the solutions in choice B.

AI-written and checked against the verified answer.