55/(x+16)+x

Solution for 55/(x+16)+x equation:

D( x )

x+16 = 0

x+16 = 0

x+16 = 0

x+16 = 0 // - 16

x = -16

x in (-oo:-16) U (-16:+oo)

55/(x+16)+x = 0

55/(x+16)+(x*(x+16))/(x+16) = 0

x*(x+16)+55 = 0

x^2+16*x+55 = 0

x^2+16*x+55 = 0

x^2+16*x+55 = 0

DELTA = 16^2-(1*4*55)

DELTA = 36

DELTA > 0

x = (36^(1/2)-16)/(1*2) or x = (-36^(1/2)-16)/(1*2)

x = -5 or x = -11

(x+11)*(x+5) = 0

((x+11)*(x+5))/(x+16) = 0

((x+11)*(x+5))/(x+16) = 0 // * x+16

(x+11)*(x+5) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -11, -5 }