(1/(x+3))+(1/(x-3))-(1/(x+7))

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Solution for (1/(x+3))+(1/(x-3))-(1/(x+7)) equation: 


D( x )

x+7 = 0

x-3 = 0

x+3 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-7) U (-7:-3) U (-3:3) U (3:+oo)

1/(x+3)+1/(x-3)-(1/(x+7)) = 0

1/(x+3)+1/(x-3)-(x+7)^-1 = 0

1/(x+3)+1/(x-3)-1/(x+7) = 0

(1*(x-3)*(x+7))/((x+3)*(x-3)*(x+7))+(1*(x+3)*(x+7))/((x+3)*(x-3)*(x+7))+(-1*(x+3)*(x-3))/((x+3)*(x-3)*(x+7)) = 0

1*(x-3)*(x+7)+1*(x+3)*(x+7)-1*(x+3)*(x-3) = 0

2*x^2-x^2+14*x+9 = 0

x^2+14*x+9 = 0

x^2+14*x+9 = 0

x^2+14*x+9 = 0

DELTA = 14^2-(1*4*9)

DELTA = 160

DELTA > 0

x = (160^(1/2)-14)/(1*2) or x = (-160^(1/2)-14)/(1*2)

x = (4*10^(1/2)-14)/2 or x = (-4*10^(1/2)-14)/2

(x-((-4*10^(1/2)-14)/2))*(x-((4*10^(1/2)-14)/2)) = 0

((x-((-4*10^(1/2)-14)/2))*(x-((4*10^(1/2)-14)/2)))/((x+3)*(x-3)*(x+7)) = 0

((x-((-4*10^(1/2)-14)/2))*(x-((4*10^(1/2)-14)/2)))/((x+3)*(x-3)*(x+7)) = 0 // * (x+3)*(x-3)*(x+7)

(x-((-4*10^(1/2)-14)/2))*(x-((4*10^(1/2)-14)/2)) = 0

( x-((-4*10^(1/2)-14)/2) )

x-((-4*10^(1/2)-14)/2) = 0 // + (-4*10^(1/2)-14)/2

x = (-4*10^(1/2)-14)/2

( x-((4*10^(1/2)-14)/2) )

x-((4*10^(1/2)-14)/2) = 0 // + (4*10^(1/2)-14)/2

x = (4*10^(1/2)-14)/2

x in { (-4*10^(1/2)-14)/2, (4*10^(1/2)-14)/2 }

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