1. **Stating the problem:** Solve the equation or task given (since the user only said "solve 1 task" without specifying, we assume a generic example: solve $x^2 - 4 = 0$. 2. **Formula and rules:** To solve quadratic equations of the form $ax^2 + bx + c = 0$, use factoring, completing the square, or the quadratic formula. Here, the equation is $x^2 - 4 = 0$. 3. **Intermediate work:** - Rewrite as $x^2 = 4$ - Take the square root of both sides: $x = \pm \sqrt{4}$ - Simplify: $x = \pm 2$ 4. **Explanation:** The equation $x^2 - 4 = 0$ is a difference of squares, which factors as $(x - 2)(x + 2) = 0$. Setting each factor equal to zero gives the solutions $x = 2$ and $x = -2$. 5. **Final answer:** The solutions to the equation are $x = 2$ and $x = -2$.