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.
The equation now becomes:
Step 2: Set everything on the outside and inside of the equation equal to zero.
and
Step 3:
For , 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 , 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