Question
Solve x2−5x=0 by factoring out the greatest common factor.
Enter your solutions as an integer.
(2 points)
x =
x=
Enter your solutions as an integer.
(2 points)
x =
x=
Answers
GPT-4o mini
To solve the equation \( x^2 - 5x = 0 \) by factoring out the greatest common factor, we first notice that both terms have a common factor of \( x \).
We can factor the equation as follows:
\[
x(x - 5) = 0
\]
Now, we can set each factor equal to zero:
1. \( x = 0 \)
2. \( x - 5 = 0 \) which simplifies to \( x = 5 \)
Thus, the solutions are:
\[
x = 0
\]
\[
x = 5
\]
So, the final answers are:
\( x = 0 \)
\( x = 5 \)
We can factor the equation as follows:
\[
x(x - 5) = 0
\]
Now, we can set each factor equal to zero:
1. \( x = 0 \)
2. \( x - 5 = 0 \) which simplifies to \( x = 5 \)
Thus, the solutions are:
\[
x = 0
\]
\[
x = 5
\]
So, the final answers are:
\( x = 0 \)
\( x = 5 \)