Question
Solve 3x2−12x=0 by factoring out the greatest common factor. Enter your solutions as an integer.(2 points)
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Answers
GPT-4o mini
To solve the equation \(3x^2 - 12x = 0\) by factoring out the greatest common factor (GCF), we first identify the GCF of the terms in the equation.
The GCF of \(3x^2\) and \(-12x\) is \(3x\). We can factor this out:
\[
3x(x - 4) = 0
\]
Now, we can set each factor equal to zero:
1. \(3x = 0\)
2. \(x - 4 = 0\)
Solving these equations gives:
1. From \(3x = 0\):
\[
x = 0
\]
2. From \(x - 4 = 0\):
\[
x = 4
\]
Thus, the solutions to the equation \(3x^2 - 12x = 0\) are:
\[
x = 0 \quad \text{and} \quad x = 4
\]
So, you can enter:
- \(x = 0\)
- \(x = 4\)
The GCF of \(3x^2\) and \(-12x\) is \(3x\). We can factor this out:
\[
3x(x - 4) = 0
\]
Now, we can set each factor equal to zero:
1. \(3x = 0\)
2. \(x - 4 = 0\)
Solving these equations gives:
1. From \(3x = 0\):
\[
x = 0
\]
2. From \(x - 4 = 0\):
\[
x = 4
\]
Thus, the solutions to the equation \(3x^2 - 12x = 0\) are:
\[
x = 0 \quad \text{and} \quad x = 4
\]
So, you can enter:
- \(x = 0\)
- \(x = 4\)