Question

Solve for all values of xx by factoring.
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:

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