3/(x+2)=x

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Solution for 3/(x+2)=x equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

3/(x+2) = x // - x

3/(x+2)-x = 0

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

3-x*(x+2) = 0

3-x^2-2*x = 0

3-x^2-2*x = 0

3-x^2-2*x = 0

DELTA = (-2)^2-(-1*3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(-1*2) or x = (2-16^(1/2))/(-1*2)

x = -3 or x = 1

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

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

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

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -3, 1 }

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