X.(x+5)=0

The equation you've written is \( x(x + 5) = 0 \).

To solve for \( x \), 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.

Here, we set each factor equal to zero:

1. \( x = 0 \)
2. \( x + 5 = 0 \)

From the second equation, we can solve for \( x \):

\[
x + 5 = 0 \implies x = -5
\]

So the solutions to the equation \( x(x + 5) = 0 \) are:

\[
x = 0 \quad \text{and} \quad x = -5
\]

Therefore, the complete solution set is \( x = 0 \) and \( x = -5 \).