220k views
3 votes
3x-10/3x+1+4x+28/3x^2+10x+3= x+1/x+3 I can't get the right answer of the rational equation. I don't really get it yet so I need help to understand this better

1 Answer

5 votes


3x-10/3x+1+4x+28/3x^2+10x+3= x+1/x+3

Collecting like terms and then simplifying:

7x+28/3x^2+13x-10/3x+1= x+1/x+3

Multiplying both sides by 3x+3 to eliminate fractions:

(7x+28)(3x+3)+13x-10(3x+3)= (x+1)(3x+3)

21x^2+84x+84+39x-30= 3x^2+4x+3

Combining like terms on both sides:

21x^2+123x-27= 3x^2+4x+3

18x^2+123x-30= 0

Subtracting 18x^2 from both sides:

123x-30= 0

Dividing both sides by 123:

x-30/123= 0

x= 30/123
User Kapitan
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories