(18x)/((10x^2)-(2x))

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Solution for (18x)/((10x^2)-(2x)) equation: 


D( x )

10*x^2-(2*x) = 0

10*x^2-(2*x) = 0

10*x^2-(2*x) = 0

10*x^2-2*x = 0

10*x^2-2*x = 0

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

DELTA = 4

DELTA > 0

x = (4^(1/2)+2)/(2*10) or x = (2-4^(1/2))/(2*10)

x = 1/5 or x = 0

x in (-oo:0) U (0:1/5) U (1/5:+oo)

(18*x)/(10*x^2-(2*x)) = 0

(18*x)/(10*x^2-2*x) = 0

10*x^2-2*x = 0

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

5*x-1 = 0 // + 1

5*x = 1 // : 5

x = 1/5

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

(18*x)/(2*x*(x-1/5)) = 0

18*x = 0 // : 18

x = 0

x in { 0} 

x belongs to the empty set

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