Question

How do you solve `x^2-2x=0`?

Answer 1

`x=0, x=2`

Explanation:

`x^2-2x=0`

`x` is common to both terms of the L.H.S:

`color(blue)(x) color(green)( (x-2))=0`

Equating both factors to zero to obtain the values of `x`:
1) `color(blue)(x)=0`

2) `color(green)( x-2) = 0 , x=2`

The values for `x` are :
`x=0, x=2`