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To solve the quadratic equation \( 2x^2 - 7x + 3 = 0 \) by completing the square, the best first step is to **divide the entire equation by 2**. This simplifies the coefficient of \( x^2 \) to 1, which is necessary when completing the square.

So, the correct answer is:

**Divide the entire equation by 2**.

Would you like more details on the process of completing the square, or have any further questions?

Here are 5 related questions that expand on this topic:
1. What is the general formula for completing the square for any quadratic equation?
2. How does dividing by a coefficient affect the process of completing the square?
3. Can you complete the square for a quadratic equation if the coefficient of \( x^2 \) is not 1?
4. What are the advantages of using the completing the square method over factoring?
5. How is completing the square used to derive the quadratic formula?

**Tip**: When completing the square, always make sure that the coefficient of \( x^2 \) is 1 before proceeding with the method.

Which is the best first step in solving 2x^2 - 7x + 3 = 0 by completing the square?

Learn how to solve the quadratic equation 2x^2 - 7x + 3 = 0 by completing the square. This guide covers key algebraic concepts and methods for simplifying and solving quadratic equations, suitable for Grades 9-12.

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