The given equation is:

$x^2 + 4x = 0$

We can factor the equation to find its roots.

First, factor out $x$ from the equation:

$x(x + 4) = 0$

Now, set each factor equal to zero:

1. $x = 0$
2. $x + 4 = 0 \Rightarrow x = -4$

So, the roots are $x = 0$ and $x = -4$.

The correct answer is not listed in the provided options, but the correct roots should be:

$x = 0 \quad \text{and} \quad x = -4$

Feel free to ask for any further clarification.

Here are 5 related questions to expand your understanding:

1. How would the equation change if it were $x^2 + 5x = 0$?
2. What happens if you add a constant to both sides of the equation?
3. How would you solve $x^2 + 4x + 4 = 0$?
4. Can you graph $x^2 + 4x = 0$ and describe the curve?
5. How does completing the square apply to solving this equation?

Tip: Always check if you can factor an equation before using other methods like the quadratic formula.