To solve the equation \(x^2 + 4x = 0\) by factoring, follow these steps:
-
Factor out the common term. The common term here is \(x\):
\[ x(x + 4) = 0 \]
-
Set each factor to zero. This gives us two equations to solve:
\[ x = 0 \]
and
\[ x + 4 = 0 \]
Solving the second equation:
\[ x = -4 \]
-
Combine the solutions. The solutions to the original equation are:
\[ x = 0 \quad \text{and} \quad x = -4 \]
Therefore, the final answers are:
\[ x = 0 \quad \text{and} \quad x = -4 \]