Solve by factoring Equations

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Sep 14th, 2015

Thank you for the opportunity to help you with your question!

First, add 10 to both sides in order to make the equation equal to 0.

N^2 - n -10 + 10 = -10 + 10.     The -10 and +10 on both sides actually cancel out to make 0.

N^2 - n = 0.     Next, simplify the equation by factoring out an 'n' from both terms.

n(n-1) = 0.     N^2 is basically n x n, so factoring out 1 n would leave 1 remaining.  - n is like -1 x n, so factoring  

                      out n there leaves only -1.

For the equation to equal 0, N must be 0 or 1.  (Because 0 times anything is 0, and 1-1 = 0)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 14th, 2015

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