Let's solve the equation step by step.

### Step 1: Simplify the left side.
We start with:
\[
4x(3 + 2) = 5^2
\]

First, simplify inside the parentheses:
\[
4x(5) = 5^2
\]

### Step 2: Multiply the constants on the left.
\[
20x = 5^2
\]

Now, calculate \(5^2\):
\[
20x = 25
\]

### Step 3: Solve for \(x\).
To find \(x\), divide both sides by 20:
\[
x = \frac{25}{20}
\]

Simplify the fraction:
\[
x = \frac{5}{4} = 1.25
\]

Thus, the solution is:
\[
x = 1.25
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How do you solve similar equations with parentheses?
2. What are the properties of exponents like \(5^2\)?
3. How can you simplify fractions like \(\frac{25}{20}\)?
4. Can we solve this equation by graphing both sides?
5. What are the different ways to check the correctness of the solution?

**Tip:** Always follow the order of operations (PEMDAS) to avoid mistakes in complex calculations.

Learn how to solve the linear equation 4x(3+2)=5^2 step by step. This problem explores algebraic concepts like simplifying parentheses, applying exponentiation, and solving for x. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation