5X^3/(10x^2+5x)

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Solution for 5X^3/(10x^2+5x) equation: 


D( x )

10*x^2+5*x = 0

10*x^2+5*x = 0

10*x^2+5*x = 0

10*x^2+5*x = 0

DELTA = 5^2-(0*4*10)

DELTA = 25

DELTA > 0

x = (25^(1/2)-5)/(2*10) or x = (-25^(1/2)-5)/(2*10)

x = 0 or x = -1/2

x in (-oo:-1/2) U (-1/2:0) U (0:+oo)

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

10*x^2+5*x = 0

5*x*(2*x+1) = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

5*x*(x+1/2) = 0

(5*X^3)/(5*x*(x+1/2)) = 0

x belongs to the empty set

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