(9x^3v^5-4x^6v^5)/(-2x^5v^4)

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Solution for (9x^3v^5-4x^6v^5)/(-2x^5v^4) equation: 


D( x )

-2*v^4*x^5 = 0

-2*v^4*x^5 = 0

-2*v^4*x^5 = 0

-2*v^4*x^5 = 0 // : -2*v^4

x^5 = 0

x = 0

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

(9*v^5*x^3-(4*v^5*x^6))/(-2*v^4*x^5) = 0

(9*v^5*x^3-4*v^5*x^6)/(-2*v^4*x^5) = 0

9*v^5*x^3-4*v^5*x^6 = 0

v^5*x^3*(9-4*x^3) = 0

-4*x^3 = -9 // : -4

x^3 = 9/4

x^3 = 9/4 // ^ 1/3

x = (9/4)^(1/3)

v^5*x^3*(x-(9/4)^(1/3)) = 0

(v^5*x^3*(x-(9/4)^(1/3)))/(-2*v^4*x^5) = 0

( v^5*x^3 )

v^5*x^3 = 0 // : v^5

x^3 = 0

x = 0

( x-(9/4)^(1/3) )

x-(9/4)^(1/3) = 0 // + (9/4)^(1/3)

x = (9/4)^(1/3)

x in { 0} 

x = (9/4)^(1/3)

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