1-(14/x)=20-3x

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Solution for 1-(14/x)=20-3x equation: 


D( x )

x = 0

x = 0

x = 0

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

1-(14/x) = 20-(3*x) // - 20-(3*x)

3*x-(14/x)-20+1 = 0

3*x-14*x^-1-20+1 = 0

3*x^1-14*x^-1-19*x^0 = 0

(3*x^2-19*x^1-14*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-19*x^1-14*x^0) = 0

x^1

3*x^2-19*x-14 = 0

3*x^2-19*x-14 = 0

DELTA = (-19)^2-(-14*3*4)

DELTA = 529

DELTA > 0

x = (529^(1/2)+19)/(2*3) or x = (19-529^(1/2))/(2*3)

x = 7 or x = -2/3

x in { -2/3, 7} 

x in { -2/3, 7 }

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