解方程:(X-1)^2-2(X-1)=(2X-1)(2X+1)

(X-1)^2-2(X-1)=(2X-1)(2X+1)

(x-1)^2-2(x-1)+1=4x^2

(x-1-1)^2=4x^2

x-2=2x或x-2=-2x

x=-2,或x=2/3

(x-1)(x-3)=4x^2-1;
3x^2+4x-4=0;
4x^2=(x-2)^2 ;(or (3x-2)(x+2)=0)
2x=x-2 或 2x=2-x;
x=-2 or x=2/3;

你确定没发错的话,是这样解的:
x^2-2x+1-2x+2=4x^2-1
整理得:3x^2+4x-4=0
解得 x=2/3或x=-2

把括号都去掉后，合并同类项，之后用求根公式解决