task/30425266 решить уравнение (x-2)(x-3)(2x-3)=(x-2)(x-3)(3x-2)
(x-2)(x-3)(2x-3)=(x-2)(x-3)(3x-2)⇔(x-2)(x-3)(2x-3)-(x-2)(x-3)(3x-2) =0 ⇔
(x-2)(x-3)( 2x -3 -(3x-2) ) =0 ⇔(x-2)(x-3)( -x -1) =0 ⇔
- (x+1)(x-2)(x-3)=0 ⇔ [ x+1=0 ; x-2=0 ; x-3 =0.⇔ [ x= -1 ; x=2 ; x=3.
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task/30425266 решить уравнение (x-2)(x-3)(2x-3)=(x-2)(x-3)(3x-2)
(x-2)(x-3)(2x-3)=(x-2)(x-3)(3x-2)⇔(x-2)(x-3)(2x-3)-(x-2)(x-3)(3x-2) =0 ⇔
(x-2)(x-3)( 2x -3 -(3x-2) ) =0 ⇔(x-2)(x-3)( -x -1) =0 ⇔
- (x+1)(x-2)(x-3)=0 ⇔ [ x+1=0 ; x-2=0 ; x-3 =0.⇔ [ x= -1 ; x=2 ; x=3.