https://file.aiquickdraw.com/mathbot/file/17284153701140f8v3ptw.jpg

The equation given is:

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

This is a factored quadratic equation, and we can solve it using the **Zero Product Property**, which states that if the product of two factors is zero, then at least one of the factors must be zero.

### Steps to solve:

1. **Set each factor equal to zero**:
   \[
   x - 9 = 0 \quad \text{or} \quad x + 5 = 0
   \]

2. **Solve for \(x\)** in each equation:
   - For \(x - 9 = 0\), add 9 to both sides:
     \[
     x = 9
     \]
   - For \(x + 5 = 0\), subtract 5 from both sides:
     \[
     x = -5
     \]

### Solutions:
The two solutions to the equation are:
\[
x = 9 \quad \text{and} \quad x = -5
\]

Would you like further details or have any questions?

### 5 Related Questions:
1. How do you expand a factored quadratic equation like \((x - 9)(x + 5)\)?
2. Can every quadratic equation be factored easily like this one?
3. What is the quadratic formula, and when is it used?
4. What happens if a quadratic equation has no real solutions?
5. How can you graph the equation \((x - 9)(x + 5) = 0\) to find its solutions visually?

### Tip:
If you can't factor a quadratic equation easily, the quadratic formula can always be used to find the solutions!

Find the two solutions to the equation (x - 9)(x + 5) = 0

Learn how to solve the quadratic equation (x - 9)(x + 5) = 0 using the Zero Product Property. This step-by-step solution explains the algebraic process of finding the two solutions. Suitable for students in Grades 7-9.

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