https://file.aiquickdraw.com/mathbot/file/1726097529728nbsea0s1.jpg

Let's tackle the first equation shown in the image:

**Problem a:**
\[
y^2 - 6y = 0
\]

We are instructed to solve it using a method other than the quadratic formula. Let's use **factoring**.

### Steps:

1. **Factor the equation:**
   \[
   y^2 - 6y = y(y - 6) = 0
   \]
   
2. **Set each factor equal to zero:**
   - \( y = 0 \)
   - \( y - 6 = 0 \Rightarrow y = 6 \)

### Solutions:
\[
y = 0 \quad \text{or} \quad y = 6
\]

---

Would you like to proceed with part **b** or need further clarification on part **a**?

### Related Questions:
1. How can I apply the factoring method to more complex quadratic equations?
2. Why is factoring useful for solving quadratics when the quadratic formula is not allowed?
3. What other methods can be used to solve quadratic equations?
4. How can I verify my solutions when solving equations by factoring?
5. What should I do if the quadratic equation is not easily factorable?

### Tip:
Always check for common factors in quadratic equations before using more advanced methods like completing the square or applying the quadratic formula!

Solve each of the following equations using a method other than the Quadratic Formula: a. y^2 - 6y = 0

Learn how to solve the quadratic equation y^2 - 6y = 0 using the factoring method, without applying the quadratic formula. This problem introduces essential algebraic techniques like factoring and the zero product property. Ideal for students in Grades 8-10.

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