x(x+4)=0

To solve the equation \( x(x + 4) = 0 \), we can use the zero product property, which states that if the product of two factors is zero, at least one of the factors must be zero.

The equation can be factored as:

1. \( x = 0 \)
2. \( x + 4 = 0 \) which simplifies to \( x = -4 \)

Thus, the solutions to the equation \( x(x + 4) = 0 \) are:

\[ x = 0 \quad \text{and} \quad x = -4 \]