Final answer:
The question to solve a quadratic equation cannot be answered as provided; the equation given does not match the answer choices. The standard quadratic formula is used to solve such equations, but the correct form of the equation is needed.
Step-by-step explanation:
The student's question involves finding the solution to a quadratic equation of the form x² + 5x + c = 0. To solve such equations, one would typically use the quadratic formula, which is x = −b ± √(b² - 4ac) / (2a). This formula can determine the values of x that satisfy the equation.
However, the information given in the question seems to be incomplete or incorrectly stated. The equation provided does not match any of the answer choices. To properly solve the equation x²+5x=-2, we would first bring it to standard form as x²+5x+2=0 before applying the quadratic formula. Hence, without the correct coefficients and constants, we cannot accurately determine which of the solution options provided is correct.