Solve for all values of xx by factoring.

Question

x, squared, plus, 4, x, equals, 0
x
2
+4x=
0

Answer 1

To solve the equation \(x^2 + 4x = 0\) by factoring, follow these steps:

1. Factor out the common term. The common term here is \(x\):

   \[ x(x + 4) = 0 \]

2. Set each factor to zero. This gives us two equations to solve:

   \[ x = 0 \]

   and

   \[ x + 4 = 0 \]

   Solving the second equation:

   \[ x = -4 \]

3. Combine the solutions. The solutions to the original equation are:

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

Therefore, the final answers are:

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