x^1/4(2x^3/4-x^1/4)

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Solution for x^1/4(2x^3/4-x^1/4) equation: 


x in (-oo:+oo)

((x^1)/4)*((2*x^3)/4-((x^1)/4)) = 0

(x/4)*((2*x^3)/4-(x/4)) = 0

1/4*x*(1/2*x^3-1/4*x) = 0

1/2*x^3-1/4*x = 0

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

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

x^2 = 1/2

x^2 = 1/2 // ^ 1/2

abs(x) = (1/2)^(1/2)

x = (1/2)^(1/2) or x = -(1/2)^(1/2)

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

1/4*1/2*x*x*(x-(1/2)^(1/2))*(x+(1/2)^(1/2)) = 0

( 1/2*x )

1/2*x = 0 // : 1/2

x = 0

( 1/4*x )

1/4*x = 0 // : 1/4

x = 0

( x+(1/2)^(1/2) )

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

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

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

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

x = (1/2)^(1/2)

x in { 0, 0, -(1/2)^(1/2), (1/2)^(1/2) }

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