Answer
The solutions are -1 and 0 and 1 .
Work Step by Step
7$x^{3}$-7x=0
7x($x^{2}$-1)=0
7x(x-1)(x+1)=0
x=0 or x-1=0 or x+1=0
x=0 or x=1 or x=-1
The solutions are -1 and 0 and 1.
Check
Let x=-1
7$x^{3}$-7x=0
7$(-1)^{3}$-7(-1)=0
-7+7=0
0=0
Let x=1
7$x^{3}$-7x=0
7$(1)^{3}$-7(1)=0
7-7=0
0=0
Let x=0
7$x^{3}$-7x=0
7$(0)^{3}$-7(0)=0
0-0=0
0=0
