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

1 Answer
Mar 7, 2018

Answer:

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]