((2/3x)^1/3)-((10/3x)^-2/3)=0

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Solution for ((2/3x)^1/3)-((10/3x)^-2/3)=0 equation: 


D( x )

(10/3)*x = 0

(10/3)*x = 0

(10/3)*x = 0

10/3*x = 0 // : 10/3

x = 0

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

(((2/3)*x)^1)/3-((((10/3)*x)^-2)/3) = 0

((2/3)*x)/3-((((10/3)*x)^-2)/3) = 0

2/9*x-3/100*x^-2 = 0

x*(2/9-3/100*x^-3) = 0

-3/100*x^-3 = -2/9 // : -3/100

x^-3 = 200/27

-3 < 0

1/(x^3) = 200/27 // * x^3

1 = 200/27*x^3 // : 200/27

27/200 = x^3

x^3 = 27/200 // ^ 1/3

x = (27/200)^(1/3)

x = 0

x = 0

x in { 0} 

x = (27/200)^(1/3)

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