To solve the equation \( x^2 + 5x = 0 \), we can factor out the common term \( x \):

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

This gives us two possible solutions:

1. \( x = 0 \)
2. \( x + 5 = 0 \) which simplifies to \( x = -5 \)

Therefore, the solutions are \( x = 0 \) and \( x = -5 \).

Would you like more details or have any questions? Here are 5 more questions you might be interested in:

1. How do you solve quadratic equations using the quadratic formula?
2. Can you explain how to complete the square?
3. How do you factor trinomials?
4. What are the steps to solve linear equations?
5. Can you explain the difference between rational and irrational numbers?

**Tip:** When solving equations, always check for common factors that can be factored out to simplify the problem.

Learn how to solve the quadratic equation x^2 + 5x = 0 with a detailed step-by-step solution. This problem covers key algebraic concepts, including factoring and the quadratic equation formula. Suitable for students in Grades 7-9.

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