Answer :

To solve the equation [tex]\(\frac{3600 x}{100}\)[/tex], follow these steps:

1. Identify the given expression: [tex]\(\frac{3600 x}{100}\)[/tex].

2. Simplify the fraction:
- The fraction [tex]\(\frac{3600 x}{100}\)[/tex] can be simplified by dividing the numerator by the denominator.

3. Perform the division:
- Divide 3600 by 100: [tex]\( \frac{3600}{100} = 36 \)[/tex].

4. Multiply the result by [tex]\(x\)[/tex]:
- Now, multiply the simplified result by [tex]\(x\)[/tex]: [tex]\( 36 \cdot x = 36x \)[/tex].

Therefore, the simplified form of the given expression [tex]\(\frac{3600 x}{100}\)[/tex] is:

[tex]\[ 36x \][/tex]

So, [tex]\(\boxed{36x}\)[/tex] is the final answer.