(10x^4+50x^3)/(2x^3)

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Solution for (10x^4+50x^3)/(2x^3) equation: 


D( x )

2*x^3 = 0

2*x^3 = 0

2*x^3 = 0

2*x^3 = 0 // : 2

x^3 = 0

x = 0

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

(10*x^4+50*x^3)/(2*x^3) = 0

10*x^4+50*x^3 = 0

10*x^3*(x+5) = 0

x+5 = 0 // - 5

x = -5

10*x^3*(x+5) = 0

(10*x^3*(x+5))/(2*x^3) = 0

( 10*x^3 )

10*x^3 = 0 // : 10

x^3 = 0

x = 0

( x+5 )

x+5 = 0 // - 5

x = -5

x in { 0} 

x = -5

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