(10x^4-(6x^3))/(2x^2)

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Solution for (10x^4-(6x^3))/(2x^2) equation: 


D( x )

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

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

(10*x^4-(6*x^3))/(2*x^2) = 0

(10*x^4-6*x^3)/(2*x^2) = 0

10*x^4-6*x^3 = 0

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

5*x-3 = 0 // + 3

5*x = 3 // : 5

x = 3/5

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

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

( 2*x^3 )

2*x^3 = 0 // : 2

x^3 = 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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