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

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Solution for x^3-(x^3/(x^2-1))x^2+(x^3/(x^2-1))=0 equation:


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

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

(x^3)/(x^2-1)-(x^5*(x^2-1)^-1)+x^3 = 0

(-1*x^5)/(x^2-1)+(x^3)/(x^2-1)+x^3 = 0

(-1*x^5)/(x^2-1)+(x^3)/(x^2-1)+(x^3*(x^2-1))/(x^2-1) = 0

x^3*(x^2-1)-1*x^5+x^3 = 0

x^5-x^5+x^3-x^3 = 0

0 = 0

0/(x^2-1) = 0

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

0 = 0

x belongs to the empty set

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