Final Answer:
The solution to 5x^2 = -30x - 65 is x = -3 ± 2i, thus the correct option is a.
Explanation:
The given equation is a quadratic equation and can be solved using the quadratic formula.
The formula is x = -b ± √b^2 - 4ac / 2a, where a, b and c are the coefficients of the equation. In this equation, a = 5, b = -30 and c = -65. Substituting these values into the formula, we get x = -(-30) ± √(-30)^2 - 4(5)(-65) / 2(5) = -30 ± √900 + 1300 / 10 = -30 ± √2200 / 10 = -3 ± 2i.
Therefore, the solution of the equation 5x^2 = -30x - 65 is x = -3 ± 2i.