1/(x^2-64)-3/(x-8)=1/(x+8)

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Solution for 1/(x^2-64)-3/(x-8)=1/(x+8) equation: 


D( x )

x^2-64 = 0

x+8 = 0

x-8 = 0

x^2-64 = 0

x^2-64 = 0

1*x^2 = 64 // : 1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:-8) U (-8:8) U (8:+oo)

1/(x^2-64)-(3/(x-8)) = 1/(x+8) // - 1/(x+8)

1/(x^2-64)-(3/(x-8))-(1/(x+8)) = 0

1/(x^2-64)-3*(x-8)^-1-(x+8)^-1 = 0

1/(x^2-64)-3/(x-8)-1/(x+8) = 0

(1*(x-8)*(x+8))/((x^2-64)*(x-8)*(x+8))+(-3*(x^2-64)*(x+8))/((x^2-64)*(x-8)*(x+8))+(-1*(x^2-64)*(x-8))/((x^2-64)*(x-8)*(x+8)) = 0

1*(x-8)*(x+8)-3*(x^2-64)*(x+8)-1*(x^2-64)*(x-8) = 0

8*x^2-3*x^3-x^3-23*x^2+192*x+64*x-512+1472 = 0

256*x-4*x^3-15*x^2+960 = 0

256*x-4*x^3-15*x^2+960 = 0

256*x-4*x^3-15*x^2+960

256*x-x^2*(4*x+15)+960

64*(4*x+15)-x^2*(4*x+15)

(64-x^2)*(4*x+15)

((64-x^2)*(4*x+15))/((x^2-64)*(x-8)*(x+8)) = 0

((64-x^2)*(4*x+15))/((x^2-64)*(x-8)*(x+8)) = 0 // * (x^2-64)*(x-8)*(x+8)

(64-x^2)*(4*x+15) = 0

( 4*x+15 )

4*x+15 = 0 // - 15

4*x = -15 // : 4

x = -15/4

( 64-x^2 )

-1*x^2 = -64 // : -1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8} 

x in { -8} 

x = -15/4

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