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The image shows a math problem in Vietnamese, which translates to:

"Calculate the sum of all elements of set \( A \)."

The set \( A \) is given as:
\[ A = \left\{ x \in \mathbb{Q} \mid \frac{x}{x-2} = \frac{3}{2} \right\} \]

Let's solve this step-by-step:

1. Solve the equation \(\frac{x}{x-2} = \frac{3}{2}\) to find the values of \( x \) that belong to set \( A \).

2. Cross-multiply to simplify the equation:

\[
2x = 3(x - 2)
\]

3. Expand and simplify:

\[
2x = 3x - 6
\]

4. Rearrange to solve for \( x \):

\[
x = 6
\]

5. The solution to the equation is \( x = 6 \). Since this is the only value in set \( A \), the sum of all elements in set \( A \) is simply 6.

**Sum of all elements in \( A \):** \( 6 \).

Would you like further details or have any questions? 

Here are some related questions:

1. How do you verify the solution of a rational equation?
2. What are the properties of rational numbers?
3. Can rational equations have more than one solution?
4. What is the domain of the function \(\frac{x}{x-2}\)?
5. How do restrictions affect the solution set of rational equations?

**Tip:** Always check for extraneous solutions when solving rational equations by substituting back into the original equation.

Tính tổng tất cả các phần tử của tập hợp A = {x ∈ Q | x/(x-2) = 3/2}.

Explore how to solve the rational equation x/(x-2) = 3/2 step by step. This problem involves key concepts of rational equations, algebraic manipulation, and cross-multiplication. Suitable for students in Grades 9-11.

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