function solve_equation(a, b, c)
    if a == 0 then
        if b == 0 then
            return nil, "No solution or infinite solutions."
        else
            return -c / b
        end
    end

    local discriminant = b^2 - 4*a*c

    if discriminant > 0 then
        local x1 = (-b + math.sqrt(discriminant)) / (2*a)
        local x2 = (-b - math.sqrt(discriminant)) / (2*a)
        return x1, x2
    elseif discriminant == 0 then
        local x = -b / (2*a)
        return x
    else
        return nil, "No real roots." 
    end
end

local x1, x2 = solve_equation(1, -3, 2)
print("a=1, b=-3, c=2  =>", x1, x2)