What are the solutions of the equation 4x2 + 3x = 24 – x?

Move all terms to one side: 4x² + 3x = 24 − x becomes 4x² + 4x − 24 = 0. Divide by 4 to get x² + x − 6 = 0, which factors as (x + 3)(x − 2) = 0. Thus x = −3 or x = 2, matching choice B: −3 or 2.

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