Question

How do you solve `x^2 - 14x = 0`?

Answer 1

The solutions are:
`color(blue)(x=0`
`color(green)(x=14`

Explanation:

`x^2 - 14x = 0`

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

`color(blue)(x) color(green)( ( x - 14) ) = 0`

Now, we equate both factors to zero to obtain the solutions:

`color(blue)(x=0`
`x - 14 = 0 , color(green)(x=14`