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

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) (Show Source): You can put this solution on YOUR website!
= 2
;
Don't worry about the LCD. Just multiply both sides by 3(t^2+1) to get rid of the denominator:
=
:
=
:
Variables on the left, numbers on the right
= 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
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