To solve for x in a quadratic equation, several methods can be employed, including factoring, completing the square, and using the quadratic formula. Completing the square is a reliable technique, while the quadratic formula is universally applicable for any quadratic equation. It's important to remember the quadratic formula for situations where other methods may not be straightforward. Each method has its own advantages, and understanding them can enhance problem-solving skills. Mastering these techniques is essential for effectively tackling quadratic equations.