Find all solutions to the equation x3 + 100x + 8x2 = –800.

Move −800 to the left to get x³ + 8x² + 100x + 800 = 0. Factor by grouping: x²(x + 8) + 100(x + 8) = (x + 8)(x² + 100) = 0. Thus x = −8 or x² = −100, which gives x = ±10i; these are the solutions in choice D.

AI-written and checked against the verified answer.