(x+8)/(x+3)=x

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Solution for (x+8)/(x+3)=x equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

(x+8)/(x+3) = x // - x

(x+8)/(x+3)-x = 0

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

x-x*(x+3)+8 = 0

8-x^2-2*x = 0

8-x^2-2*x = 0

8-x^2-2*x = 0

DELTA = (-2)^2-(-1*4*8)

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(-1*2) or x = (2-36^(1/2))/(-1*2)

x = -4 or x = 2

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

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

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

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

( x+4 )

x+4 = 0 // - 4

x = -4

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -4, 2 }

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