import math


def solve_pq(p, q):
    print(f"Solving the quadratic equation: x^2 + ({p})x + ({q}) = 0")

    # Step 1: Calculate p/2
    p_half = p / 2
    print(f"Step 1: Calculate p/2 -> p/2 = {p_half}")

    # Step 2: Calculate (p/2)^2
    p_half_squared = p_half**2
    print(f"Step 2: Calculate (p/2)^2 -> ({p_half})^2 = {p_half_squared}")

    # Step 3: Calculate discriminant (p/2)^2 - q
    discriminant = p_half_squared - q
    print(
        f"Step 3: Calculate the discriminant -> ({p_half_squared}) - ({q}) = {discriminant}"
    )

    # Step 4: Check if discriminant is non-negative (real solutions exist)
    if discriminant < 0:
        print("Step 4: Discriminant is negative, no real solutions.")
        return

    # Step 5: Calculate the square root of the discriminant
    sqrt_discriminant = math.sqrt(discriminant)
    print(
        f"Step 5: Calculate the square root of the discriminant -> sqrt({discriminant}) = {sqrt_discriminant}"
    )

    # Step 6: Calculate the two possible solutions
    x1 = -p_half + sqrt_discriminant
    x2 = -p_half - sqrt_discriminant
    print("Step 6: Calculate the two solutions:")
    print(f"x1 = -({p_half}) + {sqrt_discriminant} = {x1}")
    print(f"x2 = -({p_half}) - {sqrt_discriminant} = {x2}")

    # Step 7: Output the solutions
    print(f"Solutions: x1 = {x1}, x2 = {x2}")


# Example usage
p = float(input("Enter the value of p: "))
q = float(input("Enter the value of q: "))
solve_pq(p, q)