There is one negative solution and two nonreal solutions to the equation x cubed plus 87 is equal to 7 x squared plus x What are the solutions?

Move all terms to one side to get x³ − 7x² − x + 87 = 0. The roots in choice A give the factors (x + 3) and (x − 5 − 2i)(x − 5 + 2i) = (x − 5)² + 4 = x² − 10x + 29. Multiplying gives (x + 3)(x² − 10x + 29) = x³ − 7x² − x + 87, so the solutions are −3, 5 + 2i, and 5 − 2i.

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