Find the value of x : `(-3)/(8) divide 0 = x`

Options

A. `(-3)/(8)`
B. 0
C. `(-8)/(3)`
D. not defined

Answer

To solve the equation \((-3)/(8) \div 0 = x\), we need to understand the concept of division by zero.

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression \((-3)/(8) \div 0\).

2. **Rewrite the Division**: Division by zero can be rewritten in terms of multiplication. So, we can express it as:
\[ x = \frac{-3}{8} \div 0 = \frac{-3}{8} \times \frac{1}{0} \]

3. **Understand Division by Zero**: The term \(\frac{1}{0}\) is undefined. In mathematics, division by zero does not yield a finite number or even infinity; it is simply not defined.

4. **Conclusion**: Since \(\frac{1}{0}\) is undefined, we conclude that:
\[ x = \text{undefined} \]

### Final Answer:
The value of \(x\) is undefined.