Question

Solve x^2 - 4x = 0 by factoring out the greatest common factor.
Enter your solutions as an integer.
X=
X=

Answer 1

To solve the equation \( x^2 - 4x = 0 \) by factoring, we first factor out the greatest common factor, which is \( x \):

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

Next, we set each factor equal to zero:

1. \( x = 0 \)
2. \( x - 4 = 0 \) which gives \( x = 4 \)

Thus, the solutions are:

\[
x = 0
\]
\[
x = 4
\]

So the solution in integer form is:

\( X = 0 \) and \( X = 4 \)