(3x)/(x-1)*((x^2)-1)

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Solution for (3x)/(x-1)*((x^2)-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

((3*x)/(x-1))*(x^2-1) = 0

(3*x*(x^2-1))/(x-1) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x^2-1 )

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1} 

x in { 0, -1 }

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