(20u^3x^3-16v^5x^4)/(4x^5)

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Solution for (20u^3x^3-16v^5x^4)/(4x^5) equation:


D( x )

4*x^5 = 0

4*x^5 = 0

4*x^5 = 0

4*x^5 = 0 // : 4

x^5 = 0

x = 0

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

(20*u^3*x^3-(16*v^5*x^4))/(4*x^5) = 0

(20*u^3*x^3-16*v^5*x^4)/(4*x^5) = 0

20*u^3*x^3-16*v^5*x^4 = 0

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

5*u^3-4*v^5*x = 0 // - 5*u^3

-4*v^5*x = -(5*u^3) // : -4*v^5

x = (-(5*u^3))/(-4*v^5)

x = (-5*u^3)/(-4*v^5)

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

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

( 4*x^3 )

4*x^3 = 0 // : 4

x^3 = 0

x = 0

( x-5/4*u^3*v^-5 )

x-5/4*u^3*v^-5 = 0 // + -5/4*u^3*v^-5

x = -(-5/4*u^3*v^-5)

x = 5/4*u^3*v^-5

x in { 0}

x = 5/4*u^3*v^-5

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