Question

How do you solve `x^2 - 4x = 0` by factoring?

Answer 1

The solutions are:
`color(blue)(x=0,x=4`

Explanation:

`x^2-4x=0`

Here `color(blue)(x` is common to both the terms of the expression

`color(blue)(x)(x-4)=0`

Now we equate each of the two factors to zero, to obtain the solutions.

`color(blue)(x=0`
`x-4=0, color(blue)(x=4`