x^1/2(x^2/3+x^5/3)

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Solution for x^1/2(x^2/3+x^5/3) equation: 


x in (-oo:+oo)

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

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

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

1/3*x^5+1/3*x^2 = 0

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

1*x^3 = -1 // : 1

x^3 = -1

x^3 = -1 // ^ 1/3

x = -1

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

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

( 1/2*x )

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

x = 0

( 1/3*x^2 )

1/3*x^2 = 0 // : 1/3

x^2 = 0

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

x in { 0, 0, -1 }

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