(20x^5-12x^4)/(4x^2)

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Solution for (20x^5-12x^4)/(4x^2) equation: 


D( x )

4*x^2 = 0

4*x^2 = 0

4*x^2 = 0

4*x^2 = 0 // : 4

x^2 = 0

x = 0

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

(20*x^5-(12*x^4))/(4*x^2) = 0

(20*x^5-12*x^4)/(4*x^2) = 0

20*x^5-12*x^4 = 0

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

5*x-3 = 0 // + 3

5*x = 3 // : 5

x = 3/5

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

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

( 4*x^4 )

4*x^4 = 0 // : 4

x^4 = 0

x = 0

( x-3/5 )

x-3/5 = 0 // + 3/5

x = 3/5

x in { 0} 

x = 3/5

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