(9x^2)/(x-4)*(2x^3-20)/(3x-4)

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Solution for (9x^2)/(x-4)*(2x^3-20)/(3x-4) equation: 


D( x )

3*x-4 = 0

x-4 = 0

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4/3) U (4/3:4) U (4:+oo)

(((9*x^2)/(x-4))*(2*x^3-20))/(3*x-4) = 0

(9*x^2*(2*x^3-20))/((x-4)*(3*x-4)) = 0

( 2*x^3-20 )

2*x^3 = 20 // : 2

x^3 = 10

x^3 = 10 // ^ 1/3

x = 10^(1/3)

( 9*x^2 )

9*x^2 = 0 // : 9

x^2 = 0

x = 0

x in { 10^(1/3), 0 }

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