6x/x+5=2x-20/x+5

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Solution for 6x/x+5=2x-20/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(6*x)/x+5 = 2*x-(20/x)+5 // - 2*x-(20/x)+5

20/x-(2*x)+(6*x)/x-5+5 = 0

20/x-2*x+(6*x)/x-5+5 = 0

20*x^-1-2*x^1+6*x^0 = 0

(6*x^1-2*x^2+20*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^1-2*x^2+20*x^0) = 0

x^1

6*x-2*x^2+20 = 0

6*x-2*x^2+20 = 0

DELTA = 6^2-(-2*4*20)

DELTA = 196

DELTA > 0

x = (196^(1/2)-6)/(-2*2) or x = (-196^(1/2)-6)/(-2*2)

x = -2 or x = 5

x in { -2, 5} 

x in { -2, 5 }

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