(14/x)-(15/(x-4))+2=0

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Solution for (14/x)-(15/(x-4))+2=0 equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

14/x-(15/(x-4))+2 = 0

14/x-15*(x-4)^-1+2 = 0

14/x-15/(x-4)+2 = 0

(-15*x)/(x*(x-4))+(14*(x-4))/(x*(x-4))+(2*x*(x-4))/(x*(x-4)) = 0

14*(x-4)+2*x*(x-4)-15*x = 0

2*x^2-x-8*x-56 = 0

2*x^2-9*x-56 = 0

2*x^2-9*x-56 = 0

2*x^2-9*x-56 = 0

DELTA = (-9)^2-(-56*2*4)

DELTA = 529

DELTA > 0

x = (529^(1/2)+9)/(2*2) or x = (9-529^(1/2))/(2*2)

x = 8 or x = -7/2

(x+7/2)*(x-8) = 0

((x+7/2)*(x-8))/(x*(x-4)) = 0

((x+7/2)*(x-8))/(x*(x-4)) = 0 // * x*(x-4)

(x+7/2)*(x-8) = 0

( x+7/2 )

x+7/2 = 0 // - 7/2

x = -7/2

( x-8 )

x-8 = 0 // + 8

x = 8

x in { -7/2, 8 }

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