2x-2a^3/x^2=0

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Solution for 2x-2a^3/x^2=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

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

2*x-2*a^3*x^-2 = 0

2*x-2*a^3*x^-2 = 0

2*x*(1-(a^3*x^-3)) = 0

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

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

-3 < 0

1/(x^3) = 1/(a^3) // * x^3

1 = (1/(a^3))*x^3 // : 1/(a^3)

a^3 = x^3

x^3 = a^3 // ^ 1/3

x = a

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = a

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