x^3-7x+6=0
x^3-x-6x+6=0
x(x^2-1)-6(x-1)=0
x(x-1)(x+1)-6(x-1)=0
(x-1)[x(x+1)-6]=0
(x-1)(x^2+x-6)=0
(x-1)(x^2+3x-2x-6)=0
(x-1)[x(x+3)-2(x+3)]=0
(x-1)(x+3)(x-2)=0
x-1=0 ∨ x+3=0 ∨ x-2=0
x=1 ∨ x=-3 ∨ x=2
x^3-7x+6=0
x^3-x-6x+6=0
x(x^2-1)-6(x-1)=0
x(x-1)(x+1)-6(x-1)=0
(x-1)[x(x+1)-6]=0
(x-1)(x^2+x-6)=0
(x-1)(x^2+3x-2x-6)=0
(x-1)[x(x+3)-2(x+3)]=0
(x-1)(x+3)(x-2)=0
x^3-7x+6=0
x^3-x-6x+6=0
x(x^2-1)-6(x-1)=0
x(x-1)(x+1)-6(x-1)=0
(x-1)[x(x+1)-6]=0
(x-1)(x^2+x-6)=0
(x-1)(x^2+3x-2x-6)=0
(x-1)[x(x+3)-2(x+3)]=0
(x-1)(x+3)(x-2)=0
x-1=0 ∨ x+3=0 ∨ x-2=0
x=1 ∨ x=-3 ∨ x=2