Return true or false if the problem is either correct or incorrect. If the problem is incorrect return line indexes that contain errors:
Problem:
Solve 2x^2=2
Solution:
2x^2=2
x^2=1
x=1,x=-1

Let's verify the solution step-by-step.

### Problem:
Solve the equation \( 2x^2 = 2 \).

### Solution Verification:
1. **Given Equation:**
   \[
   2x^2 = 2
   \]
   This is correct as per the problem statement.

2. **Divide both sides by 2 to simplify:**
   \[
   x^2 = 1
   \]
   This step is correct.

3. **Take the square root of both sides:**
   \[
   x = \pm 1
   \]
   This step is also correct.

### Conclusion:
The solution provided is **correct**.

### Final Answer:
- **Correct:** **True**

No errors were found in the solution. 

Would you like further details or have any questions about the solution? Here are 5 related questions you might find interesting:

1. How do you solve quadratic equations that have no real solutions?
2. What is the general approach to solving quadratic equations by factoring?
3. Can you always divide both sides of an equation by a variable term?
4. How do complex solutions arise from quadratic equations?
5. What are the different methods for solving quadratic equations?

**Tip:** When taking the square root of both sides, always consider both the positive and negative roots unless the problem specifically restricts the domain.

Learn how to solve the quadratic equation 2x^2 = 2 with a detailed step-by-step solution. This problem covers key algebraic concepts, including quadratic equations and the quadratic formula theorem. Suitable for students in Grades 9-12.

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