https://file.aiquickdraw.com/mathbot/file/1727640169722l9cp1cvo.jpg

The equation provided in the image is:

\[
(x + 2)(x + 5)(x + 9) = 0
\]

To solve this equation, we use the **Zero Product Property**, which states that if the product of several factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero:

1. \( x + 2 = 0 \) → \( x = -2 \)
2. \( x + 5 = 0 \) → \( x = -5 \)
3. \( x + 9 = 0 \) → \( x = -9 \)

The question asks for a **positive solution**, but as we can see, all solutions are negative. Since no positive solution exists, it seems like there might be a misunderstanding in the options or the way the question is framed.

Would you like to explore further or discuss this more? Here are five related questions to expand on this:

1. How would the equation change if there was a positive solution?
2. Can you create similar equations with both positive and negative solutions?
3. What happens when the product of two terms equals zero?
4. How do the factors of quadratic equations affect the solutions?
5. Why is the zero-product property fundamental in algebra?

**Tip:** Always check if the question asks for positive, negative, or all solutions when solving quadratic or factored equations.

What is a positive solution to the given equation (x + 2)(x + 5)(x + 9) = 0?

Learn how to solve the factored equation (x + 2)(x + 5)(x + 9) = 0 using the zero product property. Understand the process and find the positive or negative solutions. Suitable for students in Grades 8-10.

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