x^1/5=x^3/5

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Solution for x^1/5=x^3/5 equation: 


x in (-oo:+oo)

(x^1)/5 = (x^3)/5 // - (x^3)/5

(x^1)/5-((x^3)/5) = 0

x/5-((x^3)/5) = 0

1/5*x-1/5*x^3 = 0

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

-1*x^2 = -1 // : -1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x/5 = 0

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

x = 0

x in { 1, -1, 0 }

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