# Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 63

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

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