5x^20(x^25-1/5x)

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Solution for 5x^20(x^25-1/5x) equation: 


x in (-oo:+oo)

5*x^20*(x^25-((1/5)*x)) = 0

5*x^20*(x^25+(-1/5)*x) = 0

5*x^20*(x^25-1/5*x) = 0

x^25-1/5*x = 0

x*(x^24-1/5) = 0

1*x^24 = 1/5 // : 1

x^24 = 1/5

x^24 = 1/5 // ^ 1/24

abs(x) = (1/5)^(1/24)

x = (1/5)^(1/24) or x = -(1/5)^(1/24)

x*(x-(1/5)^(1/24))*(x+(1/5)^(1/24)) = 0

5*x*x^20*(x-(1/5)^(1/24))*(x+(1/5)^(1/24)) = 0

( 5*x^20 )

5*x^20 = 0 // : 5

x^20 = 0

x = 0

( x+(1/5)^(1/24) )

x+(1/5)^(1/24) = 0 // - (1/5)^(1/24)

x = -(1/5)^(1/24)

( x-(1/5)^(1/24) )

x-(1/5)^(1/24) = 0 // + (1/5)^(1/24)

x = (1/5)^(1/24)

( x )

x = 0

x in { 0, -(1/5)^(1/24), (1/5)^(1/24), 0 }

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