(24v^3x^3-19v^3x^6)/(-3v^2x^5)

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Solution for (24v^3x^3-19v^3x^6)/(-3v^2x^5) equation: 


D( x )

-3*v^2*x^5 = 0

-3*v^2*x^5 = 0

-3*v^2*x^5 = 0

-3*v^2*x^5 = 0 // : -3*v^2

x^5 = 0

x = 0

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

(24*v^3*x^3-(19*v^3*x^6))/(-3*v^2*x^5) = 0

(24*v^3*x^3-19*v^3*x^6)/(-3*v^2*x^5) = 0

24*v^3*x^3-19*v^3*x^6 = 0

v^3*x^3*(24-19*x^3) = 0

-19*x^3 = -24 // : -19

x^3 = 24/19

x^3 = 24/19 // ^ 1/3

x = (24/19)^(1/3)

v^3*x^3*(x-(24/19)^(1/3)) = 0

(v^3*x^3*(x-(24/19)^(1/3)))/(-3*v^2*x^5) = 0

( v^3*x^3 )

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

x^3 = 0

x = 0

( x-(24/19)^(1/3) )

x-(24/19)^(1/3) = 0 // + (24/19)^(1/3)

x = (24/19)^(1/3)

x in { 0} 

x = (24/19)^(1/3)

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