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To solve the equation \(x^2 - 5x = 0\) by factorization, follow these steps:

### Step 1: Factor the equation
The equation can be factored by taking out the common factor \(x\):

\[
x(x - 5) = 0
\]

### Step 2: Solve each factor
For this equation to hold true, either \(x = 0\) or \(x - 5 = 0\).

- \(x = 0\)
- \(x - 5 = 0 \implies x = 5\)

### Step 3: Write the solutions
Thus, the solutions to the equation are:

\[
x = 0 \quad \text{or} \quad x = 5
\]

Let me know if you'd like further details or clarifications!

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Here are 5 related questions to deepen understanding:
1. How do you factor equations with more than one common factor?
2. What does factorization help achieve in solving quadratic equations?
3. Can you solve \(x^2 - 6x = 0\) using the same method?
4. What happens if a quadratic equation cannot be factored?
5. How is the factorization method different from using the quadratic formula?

**Tip**: When solving quadratic equations by factoring, always check for a common factor first!

Use factorising to solve the equation below: x^2 - 5x = 0

Learn how to solve the quadratic equation x^2 - 5x = 0 using the factorization method. This solution explores key algebraic concepts such as factoring and the Zero Product Property, making it suitable for students in Grades 8-10.

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