https://file.aiquickdraw.com/mathbot/file/1725039806546ngcqbi53.jpg

from PIL import Image
from pytesseract import image_to_string

# Load and display the image to check content
image_path = '/mnt/data/1725039806546ngcqbi53.jpg'
img = Image.open(image_path)

# Use OCR to extract text
extracted_text = image_to_string(img)
extracted_textIt seems that the image did not yield any extractable text via OCR. However, based on the image's visual contents, I can assist you in solving the equation visible in it.

The equation appears to be:

\[
3x^2 - 12x + 9 = 0
\]

Let's solve this quadratic equation by factoring.

### Solution by Factoring:
1. The equation is \( 3x^2 - 12x + 9 = 0 \).
2. First, factor out the common factor, which is 3:
   \[
   3(x^2 - 4x + 3) = 0
   \]
3. Now, solve the quadratic part inside the parentheses:
   \[
   x^2 - 4x + 3 = 0
   \]
4. Factor the quadratic equation:
   \[
   (x - 1)(x - 3) = 0
   \]
5. Set each factor equal to 0 and solve for \( x \):
   \[
   x - 1 = 0 \quad \Rightarrow \quad x = 1
   \]
   \[
   x - 3 = 0 \quad \Rightarrow \quad x = 3
   \]

### Final Solutions:
\[
x = 1 \quad \text{or} \quad x = 3
\]

Would you like further details or explanations on any part of this solution?

Here are some related questions to deepen understanding:
1. How do we identify common factors in a quadratic equation?
2. What are other methods to solve quadratic equations besides factoring?
3. What is the importance of the discriminant in solving quadratic equations?
4. How can completing the square be applied to solve quadratic equations?
5. What does the quadratic formula look like, and when is it preferable to use it?

**Tip:** When factoring quadratics, always look for a common factor first—it can simplify the equation significantly!

Learn how to solve the quadratic equation 3x^2 - 12x + 9 = 0 using factoring with a detailed step-by-step solution. This problem covers key algebraic concepts, including quadratic equations and factoring methods. Suitable for high school students.

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