x^5/8(x^3/8-x^11/8)

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Solution for x^5/8(x^3/8-x^11/8) equation: 


x in (-oo:+oo)

((x^5)/8)*((x^3)/8-((x^11)/8)) = 0

1/8*x^5*(1/8*x^3-1/8*x^11) = 0

1/8*x^3-1/8*x^11 = 0

1/8*x^3*(1-x^8) = 0

-1*x^8 = -1 // : -1

x^8 = 1

x^8 = 1 // ^ 1/8

abs(x) = 1

x = 1 or x = -1

1/8*x^3*(x-1)*(x+1) = 0

1/8*1/8*x^3*x^5*(x-1)*(x+1) = 0

( 1/8*x^3 )

1/8*x^3 = 0 // : 1/8

x^3 = 0

x = 0

( 1/8*x^5 )

1/8*x^5 = 0 // : 1/8

x^5 = 0

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0, 0, -1, 1 }

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