Hello from MrBillDoesMath!
Answer:
n = 0 or n =1
Discussion:
If -8n(8n-8) = 0 then either
8n = 0 or 8n -8 = 0
Case 1: 8n = 0 => n = 0
Case 2: 8n-8 = 0. Add 8 to both sides:
8n - 8 + 8 = 8 => as =8 + 8 = 0
8n = 8 => divide both sides by 8
n = 8/8 = 1
Note the negative sign in the original equation has no impact on the answers
Thank you,
MrB