The equation you provided is \( x(x + 1) = 0 \).

To solve this equation, we can use 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. 

Given the equation \( x(x + 1) = 0 \), we set each factor equal to zero:

1. \( x = 0 \)
2. \( x + 1 = 0 \)

For the second equation \( x + 1 = 0 \), subtract 1 from both sides:

\[
x = -1
\]

So, the solutions to the equation are:

\[
\boxed{x = 0 \text{ or } x = -1}
\]

Would you like further details or have any questions?

Here are 5 related questions:

1. How would you solve the equation \( x(x - 2) = 0 \)?
2. What are the solutions to \( x^2 + x = 0 \) and how do they relate to \( x(x + 1) =

Learn how to solve the equation x(x + 1) = 0 with a detailed step-by-step solution. This problem covers key algebraic concepts, including quadratic equations and the zero product property theorem. Suitable for students in Grades 7-9.

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