Respuesta :
Answer:
a = 5
Step-by-step explanation:
LCD: ( a+b)(a-b)
so
(2a-3)(a+3) - 2(a+3)(a-3) = 12(a-3)
2a^2 + 6a - 3a - 9 -2a^2 + 18 = 12a - 36
3a + 9 = 12a - 36
3a - 12a = -36 - 9
-9a = -45
a = 5
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Answer:
a = 5 is the answer.
Step-by-step 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.