<PRE><B>Question 659604</B>
Starting with n^2 - 6n = - 8,
Set the equation equal to 0
n^2 - 6n + 8 = -8 + 8
n^2 - 6n + 8 = 0

Solve the quadratic by finding multiples of 8 which add to -6
4 and 2 work:  4*2=8
Both must be negative to get -6, where -4 + - 2 = -6
It works because -4*-2=8

So,
(n - 4)(n - 2)

Therefore, 
n-4=0
n - 4 + 4 = 0 + 4
n = 4
n - 2 = 0
n - 2 + 2 = 0 + 2 
n = 2

Ultimately,
n = 4 and n = 2
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