(3z-6)^(1/3)-3(3z-6)^(-2/3)=0

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Solution for (3z-6)^(1/3)-3(3z-6)^(-2/3)=0 equation: 


D( z )

3*z-6 = 0

3*z-6 = 0

3*z-6 = 0

3*z-6 = 0 // + 6

3*z = 6 // : 3

z = 6/3

z = 2

z in (-oo:2) U (2:+oo)

(3*z-6)^(1/3)-(3*(3*z-6)^(-2/3)) = 0

(3*z-6)^(1/3)-3*(3*z-6)^(-2/3) = 0

(3*z-6)^(1/3)-3/((3*z-6)^(2/3)) = 0

(3*z-6)/((3*z-6)^(2/3))-3/((3*z-6)^(2/3)) = 0

3*z-6-3 = 0

3*z-9 = 0

(3*z-9)/((3*z-6)^(2/3)) = 0

(3*z-9)/((3*z-6)^(2/3)) = 0 // * (3*z-6)^(2/3)

3*z-9 = 0

3*z-9 = 0 // + 9

3*z = 9 // : 3

z = 9/3

z = 3

z = 3

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