Answer:
a = 5 is the answer.
Explanation:
We have given rational equation.
We have to solve this rational equation.
For this, we first find the LCM of the rational equation.
That is (a-3)(a+3) .
Multiply this LCM to each term of the rational equation we get,
(2a-3)(a+3) - 2(a-3)(a+3) =12(a-3)
2a²+6a-3a-9-2(a²+3a-3a-9) = 12a-36
2a²+6a-3a-9-2a²+18 = 12a -36
3a +9 = 12a - 36
12a -3a = 9+36
9a =45
a = 5
a = 5 is the solution of the given rational equation.