SOLUTION: Factor by grouping, could someone please show me how to solve this equation? {{{7x^3-7x^2-x+1}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor by grouping, could someone please show me how to solve this equation? {{{7x^3-7x^2-x+1}}}      Log On


   

Question 152239: Factor by grouping, could someone please show me how to solve this equation?
7x%5E3-7x%5E2-x%2B1
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
7x%5E3-7x%5E2-x%2B1=
7x%5E2%28x-1%29-%28x-1%29=
%287x%5E2-1%29%28x-1%29=0
then x^2=1/7 or x=1
then solutions are x=sqrt%281%2F7%29,x=-sqrt%281%2F7%29and x=1