https://file.aiquickdraw.com/mathbot/file/1725711216183lpc39v8j.jpg

The equation in the image is:

\[
x(x + 1)(x - 1) = 0
\]

To solve this, we apply the **Zero Product Property**, which states that if the product of multiple factors is zero, then at least one of the factors must be zero. 

### Step 1: Set each factor equal to zero

\[
x = 0, \quad (x + 1) = 0, \quad (x - 1) = 0
\]

### Step 2: Solve each equation
- \( x = 0 \)
- \( x + 1 = 0 \Rightarrow x = -1 \)
- \( x - 1 = 0 \Rightarrow x = 1 \)

### Final Solutions:
The solutions to the equation are:

\[
x = 0, \quad x = -1, \quad x = 1
\]

These are the values of \(x\) that satisfy the given equation.

---

Would you like further explanation or details on this solution? 

Here are five related questions for further practice:
1. How do you solve quadratic equations using factoring?
2. What is the Zero Product Property, and how is it applied?
3. Can the equation \(x(x+2)(x-3) = 0\) be solved in a similar way?
4. How would you graph the equation \(x(x + 1)(x - 1) = 0\)?
5. What happens if the equation has more complex factors like \(x(x^2 + 2x + 1) = 0\)?

**Tip**: Always check if an equation can be factored before trying more complex methods of solving it. This often simplifies the process.

Learn how to solve the equation x(x + 1)(x - 1) = 0 by applying the Zero Product Property. This algebraic problem is suitable for students in Grades 7-9, focusing on factoring and basic algebraic principles.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation