15z^6-27z^5/(3z^2)

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Solution for 15z^6-27z^5/(3z^2) equation: 


D( z )

3*z^2 = 0

3*z^2 = 0

3*z^2 = 0

3*z^2 = 0 // : 3

z^2 = 0

z = 0

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

15*z^6-((27*z^5)/(3*z^2)) = 0

15*z^6-9*z^3 = 0

t_1 = z^3

15*t_1^2-9*t_1^1 = 0

15*t_1^2-9*t_1 = 0

DELTA = (-9)^2-(0*4*15)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)+9)/(2*15) or t_1 = (9-81^(1/2))/(2*15)

t_1 = 3/5 or t_1 = 0

t_1 = 0

z^3+0 = 0

z^3 = 0

1*z^3 = 0 // : 1

z^3 = 0

z = 0

t_1 = 3/5

z^3-3/5 = 0

1*z^3 = 3/5 // : 1

z^3 = 3/5

z^3 = 3/5 // ^ 1/3

z = (3/5)^(1/3)

z in { 0} 

z = (3/5)^(1/3)

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