1. The problem is to solve the equation or expression given previously, but now using a different method. 2. Since the original problem is not restated, let's assume it involves solving a quadratic equation $ax^2 + bx + c = 0$. 3. One common method is the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ which finds the roots of any quadratic. 4. Another method is factoring, if the quadratic can be factored into $(dx + e)(fx + g) = 0$. 5. Alternatively, completing the square transforms the equation into a perfect square trinomial. 6. For example, to solve $x^2 - 5x + 6 = 0$ by factoring: - Find two numbers that multiply to 6 and add to -5, which are -2 and -3. - Factor as $(x - 2)(x - 3) = 0$. - Set each factor to zero: $x - 2 = 0$ or $x - 3 = 0$. - Solutions are $x = 2$ or $x = 3$. 7. This method is often simpler and quicker if the quadratic factors nicely. 8. If factoring is not straightforward, use the quadratic formula or complete the square. 9. Thus, using factoring as another method, the solutions are $x = 2$ and $x = 3$.