SOLUTION: Problem: Solve by factoring... 7X(X-1)=1-X

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Question 141571: Problem: Solve by factoring... 7X(X-1)=1-X
Answer by edjones(8007) About Me  (Show Source):
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7X(X-1)=1-X
7x^2-7x=1-x
7x^2-6x-1=0
7x^2-7x+x-1=0 Multiply the 1st and 3rd coefficients. (7*-1=-7) What 2 factors of -7 add up to the 2nd coefficient (-7,+1).
7x(x-1)+(x-1)=0
(7x+1)(x-1)=0 Factoring by grouping
7x=-1 x=-1/7
x=1
.
Ed