n-2n^2=0

Answer 1

n(1 - 2n) = 0
n = 0 or 1 - 2n = 0

n = 0 or n = 1/2

Answer 2

How did you get 1 - 2n = 0?

Answer 3

I took out a common factor of n

expand n(1-2n)
What do you get ?

Answer 4

Yes, but how did the first n in n(1 - 2n) go away?

Answer 5

It didn't, n = 0 became a solution.

Are you not familiar that if you have a factored form = 0, such as
(A)(B) = 0 , then
A = 0 or B = 0 ???