Asked by Smartypants
Solve the equation by factoring.2 x squared plus 16 x equals 0Question content area bottomPart 1xequalsenter your response here(Use a comma to separate answers as needed.)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \( 2x^2 + 16x = 0 \) by factoring, follow these steps:
1. Factor out the common term:
\[
2x(x + 8) = 0
\]
2. Set each factor to zero:
\[
2x = 0 \quad \text{or} \quad x + 8 = 0
\]
3. Solve each equation:
- For \( 2x = 0 \):
\[
x = 0
\]
- For \( x + 8 = 0 \):
\[
x = -8
\]
Thus, the solutions to the equation \( 2x^2 + 16x = 0 \) are:
\[
x = 0, -8
\]
So, the answer is:
\[
0, -8
\]
1. Factor out the common term:
\[
2x(x + 8) = 0
\]
2. Set each factor to zero:
\[
2x = 0 \quad \text{or} \quad x + 8 = 0
\]
3. Solve each equation:
- For \( 2x = 0 \):
\[
x = 0
\]
- For \( x + 8 = 0 \):
\[
x = -8
\]
Thus, the solutions to the equation \( 2x^2 + 16x = 0 \) are:
\[
x = 0, -8
\]
So, the answer is:
\[
0, -8
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.