Partial Fraction Decomposition of the Following:

I factored out and simplified the denominator which gives me: .

From that point on I write out the decomposition relative to A,B,C,D and the factored out denominator which is: .

I need to find the constants A B C & D that equal the original numerator.

In other words:

from the decomposition relative to A B C and D, I combine all terms under one single denominator and get:

I create systems of equations according to the degree of each variable and get:

When I solve the system I get no solutions?

Can anyone tell me where I am going wrong?