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