3z^1/3(2z^2/3-5z^6)

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Solution for 3z^1/3(2z^2/3-5z^6) equation: 


z in (-oo:+oo)

((3*z^1)/3)*((2*z^2)/3-(5*z^6)) = 0

((3*z)/3)*((2*z^2)/3-5*z^6) = 0

z*(2/3*z^2-5*z^6) = 0

2/3*z^2-5*z^6 = 0

z^2*(2/3-5*z^4) = 0

-5*z^4 = -2/3 // : -5

z^4 = 2/15

z^4 = 2/15 // ^ 1/4

abs(z) = (2/15)^(1/4)

z = (2/15)^(1/4) or z = -(2/15)^(1/4)

z^2*(z-(2/15)^(1/4))*(z+(2/15)^(1/4)) = 0

z*z^2*(z-(2/15)^(1/4))*(z+(2/15)^(1/4)) = 0

( z+(2/15)^(1/4) )

z+(2/15)^(1/4) = 0 // - (2/15)^(1/4)

z = -(2/15)^(1/4)

( z-(2/15)^(1/4) )

z-(2/15)^(1/4) = 0 // + (2/15)^(1/4)

z = (2/15)^(1/4)

( z )

z = 0

( z^2 )

1*z^2 = 0 // : 1

z^2 = 0

z = 0

z in { -(2/15)^(1/4), (2/15)^(1/4), 0, 0 }

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