求解方程: 3X^4-23X^3+64X^2-76X+32=0

(3X^4-3)-(23X^3-23)+(64X^2-76X+12)=0
3(X-1)(X+1)(X^2+1)-23(X-1)(X^2+X+1)+(64X-12)(X-1)=0
(X-1)(3X^3-20X^2+44X-32)=0
(X-1)[(3X^3-24)-(20X^2-44X+8)]=0
(X-1)[3(X-2)(X^2+2X+4)-(20X-4)(X-2)]=0
(X-1)(X-2)(3X^2-14X+8)=0
(X-1)(X-2)(X-4)(3X-2)=0
X=1,X=2,X=4,X=2/3

你怎么解出了个这么复杂的方程啊

不会也来学习下