https://file.aiquickdraw.com/mathbot/file/1726879021585i666vi79.jpg

I can assist in solving the problems from the image you provided. Let’s begin with the first problem and proceed step by step.

### 1. Problem 1:
\[
\frac{3x^2 - y}{6x - 2y} = 3
\]
#### Solution:
Multiply both sides by \( (6x - 2y) \) to eliminate the denominator:
\[
3x^2 - y = 3(6x - 2y)
\]
Simplify the right-hand side:
\[
3x^2 - y = 18x - 6y
\]
Move all terms to one side:
\[
3x^2 - 18x + 5y = 0
\]
This is the simplified form of the equation.

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Would you like me to continue solving the next questions, or do you have any questions so far?

### Additional Questions:
1. How would you solve \( 5x^2 - 4y = 0 \)?
2. What is the general form of a quadratic equation?
3. How do you simplify rational expressions?
4. What are common methods for solving logarithmic equations?
5. What steps do you use to simplify surds like \( \sqrt{12} \)?

### Tip:
When solving equations involving fractions, always start by clearing the denominator by multiplying both sides by the least common multiple.

Explore advanced problem-solving techniques in algebra and logarithms. This guide offers detailed solutions and explanations for complex high school level problems, suitable for students in Grades 10 to 12.

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