x²+11x=0

To solve the equation \( x^2 + 11x = 0 \), you can factor out the common term \( x \):

\[ x(x + 11) = 0 \]

Now, set each factor equal to zero:

1. \( x = 0 \)
2. \( x + 11 = 0 \) which simplifies to \( x = -11 \)

Therefore, the solutions to the equation \( x^2 + 11x = 0 \) are:

\[ x = 0 \quad \text{and} \quad x = -11 \]