2x^3+(2a+23)x^2+(10-7a)x-11+3a=0
[2x^3+(23x^2)+10x-11]+a(2x^2-7x+3)=0
(2x^3+2x^2+21x^2+10x-11)+(2ax^-7ax+3a)=0
[2x^2(x+1)+(21x-11)(x+1)]+a(2x-1)(x-3)=0
(x+1)(2x^2+21x-11)+a(2x-1)(x-3)=0
(x+1)(x+11)(2x-1)+a(2x-1)(x-3)=0
(2x-1)[(x+1)(x+11)+a(x-3)]=0
(2x-1)[x^2+(a+12)x+11-3a]=0
则2x=1或x^2+(a+12)x+11-3a=0