Question
Whih of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x^2 =56x?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To factor out the greatest common factor (GCF) and solve the quadratic equation \(7x^2 = 56x\), we start by rearranging the equation into standard form. This means we want to set the equation to zero:
1. Rearrange the equation:
\[
7x^2 - 56x = 0
\]
2. Identify the GCF of the terms on the left side. The GCF of \(7x^2\) and \(-56x\) is \(7x\).
3. Factor out the GCF:
\[
7x(x - 8) = 0
\]
4. Set each factor equal to zero:
\[
7x = 0 \quad \text{or} \quad x - 8 = 0
\]
5. Solve for \(x\):
- From \(7x = 0\), we get \(x = 0\).
- From \(x - 8 = 0\), we get \(x = 8\).
So, the solutions to the equation \(7x^2 = 56x\) are:
\[
x = 0 \quad \text{and} \quad x = 8.
\]
If you have multiple choice options or tables to choose from, look for a table that matches these steps: rearranging the equation, finding the GCF, factoring, and solving for \(x\).
1. Rearrange the equation:
\[
7x^2 - 56x = 0
\]
2. Identify the GCF of the terms on the left side. The GCF of \(7x^2\) and \(-56x\) is \(7x\).
3. Factor out the GCF:
\[
7x(x - 8) = 0
\]
4. Set each factor equal to zero:
\[
7x = 0 \quad \text{or} \quad x - 8 = 0
\]
5. Solve for \(x\):
- From \(7x = 0\), we get \(x = 0\).
- From \(x - 8 = 0\), we get \(x = 8\).
So, the solutions to the equation \(7x^2 = 56x\) are:
\[
x = 0 \quad \text{and} \quad x = 8.
\]
If you have multiple choice options or tables to choose from, look for a table that matches these steps: rearranging the equation, finding the GCF, factoring, and solving for \(x\).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.