Step-by-step explanation:Here's how to solve the quadratic equation x² + 6x + 5 = 0: 1. Factoring - Find two numbers that add up to 6 (the coefficient of the x term) and multiply to 5 (the constant term). The numbers 5 and 1 satisfy these conditions: 5 + 1 = 6 and 5 * 1 = 5.- Rewrite the equation using these numbers: (x + 5)(x + 1) = 0- Set each factor equal to zero and solve for x:- x + 5 = 0 --> x = -5- x + 1 = 0 --> x = -1 Therefore, the solutions to the equation x² + 6x + 5 = 0 are x = -5 and x = -1.