A worked example, step by step
This is the layout of an Answer + steps solution, worked by hand for this page so you can see what to expect. Your own solution is written by the model and follows the same layout.
- Problem: Solve 2x^2 - 5x - 3 = 0
- 1. Find two numbers with product 2 × (-3) = -6 and sum -5: they are -6 and 1
- 2. Split the middle term: 2x^2 - 6x + x - 3 = 0
- 3. Group: 2x(x - 3) + 1(x - 3) = 0, so (2x + 1)(x - 3) = 0
- 4. Set each factor to zero: x = 3 or x = -1/2
- Check: 2(3)^2 - 5(3) - 3 = 18 - 15 - 3 = 0, and 2(1/4) - 5(-1/2) - 3 = 1/2 + 5/2 - 3 = 0
- Answer: x = 3 or x = -1/2







