Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152239: Factor by grouping, could someone please show me how to solve this equation?
7x^3-7x^2-x+1
: Factor by grouping, could someone please show me how to solve this equation?
7x^3-7x^2-x+1

Answer by oscargut(667) About Me  (Show Source):
You can put this solution on YOUR website!
7x^3-7x^2-x+1=
7x^2(x-1)-(x-1)=
(7x^2-1)(x-1)=0
then x^2=1/7 or x=1
then solutions are x=sqrt(1/7),x=-sqrt(1/7)and x=1