SOLUTION: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreicate it!! Frational Equations 6

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Question 172670This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreicate it!!
Frational Equations
6t^2-t-1 over 3(t^2+1)= 2
I was also wondering if you could include the domain restriction and the LCD PLEASE!! This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286t%5E2-t-1%29%29%2F%283%28t%5E2%2B1%29%29= 2
;
Don't worry about the LCD. Just multiply both sides by 3(t^2+1) to get rid of the denominator:
%286t%5E2-t-1%29 = 2%283%28t%5E2%2B1%29%29
:
6t%5E2-t-1 = 6t%5E2%2B6
:
Variables on the left, numbers on the right
6t%5E2+-+6%5E2+-+t = 6 + 1
-t = 7
t = -7
:
There are no restriction on the domain. Denominator can never = 0
:
:
Check this solution by substitution in the original equation