Answer :

Step-by-step explanation:

To factorize the quadratic equation \(x^2 - 10x = 0\), follow these steps:

1. Factor out the common term \(x\):

\[

x^2 - 10x = x(x - 10)

\]

2. Set each factor equal to zero to find the solutions:

\[

x = 0 \quad \text{or} \quad x - 10 = 0

\]

Solving \(x - 10 = 0\):

\[

x = 10

\]

So, the factored form of the quadratic equation \(x^2 - 10x = 0\) is:

\[

x(x - 10) = 0

\]