Solve the quadratic equation. Check the answers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are \( x=\square \). There are no real solutions. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

To solve a quadratic equation, we typically use the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). The term under the square root, \( b^2 - 4ac \), is crucial as it determines the nature of the solutions. If it's positive, there are two distinct real solutions; if zero, there's one real solution; and if negative, no real solutions exist. To check, substitute your found values back into the original equation. Now let’s say our equation is \( ax^2 + bx + c = 0 \); upon solving it, you might find solutions like \( x = 1 \) and \( x = -2 \). After substituting these values back into the equation, they should hold true, confirming they are indeed the valid solutions. If not, double-check your calculations!