The given expression can be interpreted as:

\[
\frac{3xeZ}{x^2} = x
\]

Let’s go through the steps to simplify and solve this equation.

### Step 1: Simplify the left side
\[
\frac{3xeZ}{x^2} = \frac{3Z}{x}
\]

(Here, we canceled out one \(x\) from the numerator and denominator.)

### Step 2: Equating to the right side
Now we have:
\[
\frac{3Z}{x} = x
\]

### Step 3: Multiply both sides by \(x\)
To eliminate the denominator on the left-hand side, multiply both sides by \(x\):
\[
3Z = x^2
\]

### Step 4: Solve for \(x\)
Now, solve for \(x\):
\[
x = \pm \sqrt{3Z}
\]

### Final Solution:
\[
x = \pm \sqrt{3Z}
\]

Would you like more details or have any questions?

---

Here are 5 related questions you can try:
1. What happens if \( Z = 1 \)? What is the value of \(x\)?
2. How would you solve the equation if it involved a cube root instead?
3. What if the expression included an additional constant, like \(\frac{3xeZ + c}{x^2} = x\)?
4. How would you solve \( \frac{ax}{x^2} = b \)?
5. How would you handle a similar equation with an exponent other than 2 on \(x\)?

**Tip:** Always cancel out common terms on both sides of an equation to simplify the problem early on.

Learn how to simplify and solve the rational expression 3xeZ / x^2 = x. This step-by-step solution covers algebraic concepts, rational expression simplification, and solving quadratic equations. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation