To fully factor the expression \(-4x^2 + 24x\), follow these steps:

### Step 1: Factor out the greatest common factor (GCF)
The GCF of \(-4x^2\) and \(24x\) is \(-4x\).

\[
-4x(x - 6)
\]

### Final Answer:
The fully factored form of \(-4x^2 + 24x\) is:
\[
-4x(x - 6)
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for further practice:
1. Factor \(6x^2 - 18x\).
2. Factor \(8x^2 - 16x\).
3. Factor \(-10x^2 + 50x\).
4. Factor \(5x^2 - 25x\).
5. Factor \(12x^2 + 36x\).

**Tip:** Always start by factoring out the greatest common factor before applying other factoring techniques.

Learn how to fully factor the expression -4x^2 + 24x by extracting the greatest common factor (GCF). This step-by-step guide explains key algebraic concepts, including GCF and factoring, with a detailed breakdown suitable for students in Grades 7-9.

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