SOLUTION: 5nē- 5n

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Question 647767: 5nē- 5n
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
We're going to factor this equation by using the zero-product principle, which means we will be setting the entire equation equal to zero.
Step 1: You can factor out a 5 and an 'n' from each of the factors.
5n%5E2-5n=0
The equation now becomes:
5n%5E2-5n=0
5n%28n-1%29=0
Step 2: Set everything on the outside and inside of the equation equal to zero.
5n+=+0 and %28n-1%29+=+0
Step 3:
For 5n+=+0, divide 5 on both sides to get 'n' by itself. When you do that, you're going to get n = 0. This is ONE answer.
Step 4: For %28n-1%29+=+0, add 1 to both sides to get 'n' by itself. When you do that, you're going to get n = 1. This is the SECOND answer.
Step 5: Your answers are n = 0 and n = 1