用因式分解法解(7x-1)^2=4x^2要具体的过程

原式移项后因式分（9x-1）*（5x-1）=0 即X1=1/9, X2=1/5

(7x-1)^2-4x^2=0
(7x-1+2x)(7x-1-2x)=0
(9x-1)(5x-1)=0
x1=1/9,x2=1/5

（7x-1)^2=（2x）^2
（7x-1)^2 -（2x）^2=0
（7x-1+2x）（7x-1-2x）=0
要么7x-1+2x=0
x=1/9
要么7x-1-2x=0
x=1/5

(7x-1)^2-4x^2=0
(7x-1-2x)*(7x-1+2x)=0
(5x-1)(9x-1)=0
5x-1=0或9x-1=0
x=1/5或x=1/9

(7x-1)^2=4x^2
(7x-1)^2-4x^2=0
（7x-1)^2-(2x)^2=0
(7x-1+2x)(7x-1-2x)=0
(9x-1)(5x-1)=0
x=1/9或x=1/5

49x^2-14x+1-4x^2=0
45x^2-14+1=0
（5x-1)(9x-1)=0
x=5/1 或 x=9/1

(7x-1)^2=4x^2
49x^2-14x+1=4x^2
45x^2-14+1=0
(5x-1)(9x-1)=0
x1=1/5 x2=1/9

（7x-1)^2=4x^2
(7x-1)²=4x²
（7x-1)²-4x²=0
(7x-1-2x)(7x-1+2x)=0
(5x-1)(9x-1)=0
5x-1=0 X1=1/5
9x-1=0 X2=1/9
∴X1=1/5
X2=1/9

(7x-1)^2=4x^2
49x^2-14x+1=4x^2
45x^2-14x+1=0
（ 根号下45乘以x减去1）^2=o
根号下45乘以x减去1=0
根号下45乘以x=1
x=1/根号下45

（7x-1)^2-4x^2=0
(7x-1+4x) (7x-1-4x)=0
(11x-1) (3x-1)=0
x1=1/11
x2=1/3