((11X+19)/(X+5))=(X+1)

Solution for ((11X+19)/(X+5))=(X+1) equation:

D( X )

X+5 = 0

X+5 = 0

X+5 = 0

X+5 = 0 // - 5

X = -5

X in (-oo:-5) U (-5:+oo)

(11*X+19)/(X+5) = X+1 // - X+1

(11*X+19)/(X+5)-X-1 = 0

(11*X+19)/(X+5)+(-X*(X+5))/(X+5)+(-1*(X+5))/(X+5) = 0

11*X-X*(X+5)-1*(X+5)+19 = 0

6*X-X^2-X-5+19 = 0

5*X-X^2+14 = 0

5*X-X^2+14 = 0

5*X-X^2+14 = 0

DELTA = 5^2-(-1*4*14)

DELTA = 81

DELTA > 0

X = (81^(1/2)-5)/(-1*2) or X = (-81^(1/2)-5)/(-1*2)

X = -2 or X = 7

(X+2)*(X-7) = 0

((X+2)*(X-7))/(X+5) = 0

((X+2)*(X-7))/(X+5) = 0 // * X+5

(X+2)*(X-7) = 0

( X+2 )

X+2 = 0 // - 2

X = -2

( X-7 )

X-7 = 0 // + 7

X = 7

X in { -2, 7 }