Đáp án:
$\text{(x-1)³ = (x-1) }$
$\text{⇔(x-1)³ -(x-1)=0 }$
$\text{⇔(x-1)(x-1)² - (x-1)=0 }$
$\text{⇔ (x-1)[ (x-1)²-1] =0 }$
$\text{⇔ (x-1) [(x-1+1)(x-1-1)]=0 }$
$\text{⇔(x-1) (x-0) (x-2)=0 }$
$\text{⇔ x-1=0 ⇔ x =1 }$
$\text{⇔ x-0 =0 ⇔ x = 0 }$
$\text{⇔ x-2 =0 ⇔ x = 2 }$
$\text{Vậy x ∈ { 1 ; 0 ; 2 } }$