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:
\[
x(x - 10) = 0
\]