a+b+c=0 (1)
4a+2b+c=3 (2)
25a+5b+c=60 (3)
(2)-(1)
3a+b=3 (4)
(3)-(1)
24a+4b=60,6a+b=15 (5)
(5)-(4)
3a=12
a=4
b=-9
c=5