How do you solve (7a)/(3a+3)-5/(4a-4)=(3a)/(2a+2)?

1 Answer
Mar 7, 2018

Solution : a=3 and a= -0.5

Explanation:

(7a)/(3a+3)-5/(4a-4)=(3a)/(2a+2) or

(7a)/(3(a+1))-5/(4(a-1))=(3a)/(2(a+1)) or

(7a)/(3(a+1))-(3a)/(2(a+1))=5/(4(a-1)) or

(14a-9a)/(6(a+1))=5/(4(a-1)) or

(5a)/(6(a+1))=5/(4(a-1)) or

a/(6(a+1))=1/(4(a-1)) or

4a^2-4a=6a+6 or 4a^2-10a-6=0 or

2a^2-5a-3=0 or 2a^2- 6a+a-3=0 or

2a(a-3)+1(a-3)=0 or (a-3)(2a+1)=0

:.a=3 and a= -1/2=-0.5

Solution : a=3 and a= -0.5 [Ans]