https://file.aiquickdraw.com/mathbot/file/17288427549969msjk4b9.jpg

To solve the quadratic equation:

\[
x^2 + 3x = 0
\]

we can factor out the common term. Let's follow these steps:

1. **Factor the equation:**

   \[
   x(x + 3) = 0
   \]

2. **Set each factor to zero:**

   \[
   x = 0 \quad \text{or} \quad x + 3 = 0
   \]

3. Solve for \(x\) in both cases:

   \[
   x = 0 \quad \text{and} \quad x = -3
   \]

The solutions are:
\[
x = 0, -3
\]

Would you like more details or have any questions about this solution?

### Related Questions:
1. How do you solve a quadratic equation using the quadratic formula?
2. What are the different methods to solve quadratic equations?
3. How do you know when a quadratic equation has no real solutions?
4. What does it mean when a quadratic equation has a double root?
5. How can you graph the solutions of a quadratic equation?

### Tip:
When solving quadratic equations, always check if they can be factored easily before using other methods like the quadratic formula.

Solve the quadratic equation: x^2 + 3x = 0

Learn how to solve the quadratic equation x^2 + 3x = 0 through factoring. Understand the zero product property and find the solutions step by step. This problem is suitable for students in Grades 8-10.

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