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Need some help with some algebra please.

Have the following question from a past exam paper, its a partial fraction question 7, now i have always found partial fractions quite simple however im finding it hard to simplify and reduce the equations down!

Question 7

i) i have the denominator in the first partial fraction = to (x+5) and the numerator on the final partial fraction= to C

From this i have used the general way to obtain the A B and C

A(x+5)(2x^2-x+3)+B(2x^2-x+3)+(cx+d)(x+5)^2

Equating i got the following equations:

2A+C=0 (equating x^3)

9A+2B+10C+D=25 (equating x^2)

-2A-B+10D+25C=71 (equating x)

15A+25D=-96

From here im having trouble not sure because of not having the correct equations or just further working out.

Also having trouble in part B havent got a clue where to start if im honest.

Many thanks in advance.

Might need to attach it (Angry)