(3-x)/(x-8)-(2x+4)/(8-x)

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Solution for (3-x)/(x-8)-(2x+4)/(8-x) equation: 


D( x )

8-x = 0

x-8 = 0

8-x = 0

8-x = 0

8-x = 0 // - 8

-x = -8 // * -1

x = 8

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

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

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

(3-x)/(x-8)+(-1*(2*x+4))/(8-x) = 0

((3-x)*(8-x))/((x-8)*(8-x))+(-1*(2*x+4)*(x-8))/((x-8)*(8-x)) = 0

(3-x)*(8-x)-1*(2*x+4)*(x-8) = 0

x-x^2+56 = 0

x-x^2+56 = 0

x-x^2+56 = 0

DELTA = 1^2-(-1*4*56)

DELTA = 225

DELTA > 0

x = (225^(1/2)-1)/(-1*2) or x = (-225^(1/2)-1)/(-1*2)

x = -7 or x = 8

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

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

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

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

( x+7 )

x+7 = 0 // - 7

x = -7

( x-8 )

x-8 = 0 // + 8

x = 8

x in { 8} 

x = -7

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