To solve the equation \(3x^2 - 12x = 0\), we can factor it.

### Step 1: Factor out the greatest common factor (GCF)
The GCF of \(3x^2\) and \(-12x\) is \(3x\), so we can factor that out:

\[
3x(x - 4) = 0
\]

### Step 2: Solve each factor
Now, we have two factors: \(3x = 0\) and \(x - 4 = 0\).

- \(3x = 0 \implies x = 0\)
- \(x - 4 = 0 \implies x = 4\)

### Final Answer:
The solutions are \(x = 0\) and \(x = 4\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve a quadratic equation using the quadratic formula?
2. How do you factor more complex polynomials?
3. What are the common methods to solve quadratic equations?
4. Can quadratic equations have complex solutions?
5. What is the role of the discriminant in solving quadratic equations?

**Tip**: Always try factoring first when solving quadratic equations, as it's often the simplest method!

Learn how to solve the quadratic equation 3x^2 – 12x = 0 by factoring. This detailed solution covers factoring techniques and the Zero Product Property. Suitable for students in Grades 8-10.

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