$$
   x(3) = 4(3^2) - 25 = 4(9) - 25 = 36 - 25 = 11


Let's break down the equation you're working with:

The expression provided is:

\[
x(3) = 4(3^2) - 25
\]

### Step-by-step solution:

1. **First, square the number $3$:**
   \[
   3^2 = 9
   \]

2. **Now, multiply the squared value by 4:**
   \[
   4 \times 9 = 36
   \]

3. **Subtract 25 from the result:**
   \[
   36 - 25 = 11
   \]

Thus, $x(3) = 11$.

This means that when $x$ is evaluated at $3$, the result is $11$.

Would you like more details or clarification? 

Here are some related questions to consider:
1. What happens if you change the coefficient 4 to another number?
2. How would the equation change if the exponent were different?
3. Can you express the formula in a general form for any value of $x$?
4. What happens if you add or subtract constants inside the expression?
5. How would the graph of this equation look?

**Tip:** Always follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

x(3) = 4(3^2) - 25 = 4(9) - 25 = 36 - 25 = 11

Learn how to evaluate the algebraic expression 4(3^2) - 25 with a detailed, step-by-step breakdown. This problem covers key algebraic concepts, including exponentiation and the order of operations. Suitable for students in Grades 6-8.

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