(x-2)²=(2x+3)²用分解因式法怎样解答

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(x-2)²=(2x+3)²用分解因式法怎样解答
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(x-2)²=(2x+3)²用分解因式法怎样解答
(x-2)²=(2x+3)²用分解因式法怎样解答

(x-2)²=(2x+3)²用分解因式法怎样解答
(x-2)^2=(2x+3)^2
(x-2)^2-(2x+3)^2=0
(x-2+2x+3)(x-2-2x-3)=0
(3x+1)(-x-5)=0
x1=-1/3,x2=-5

(x-2)^2=(2x+3)^2
(x-2)^2-(2x+3)^2=0
[(x-2)+(2x+3)][(x-2)-(2x+3)]=0
(3x+1)(-x-5)=0
(3x+1)(x+5)=0
x=-1/3或x=-5