x=105/(x-8)

Solution for x=105/(x-8) equation:

D( x )

x-8 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

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

x = 105/(x-8) // - 105/(x-8)

x-(105/(x-8)) = 0

x-105*(x-8)^-1 = 0

x-105/(x-8) = 0

(x*(x-8))/(x-8)-105/(x-8) = 0

x*(x-8)-105 = 0

x^2-8*x-105 = 0

x^2-8*x-105 = 0

x^2-8*x-105 = 0

DELTA = (-8)^2-(-105*1*4)

DELTA = 484

DELTA > 0

x = (484^(1/2)+8)/(1*2) or x = (8-484^(1/2))/(1*2)

x = 15 or x = -7

(x+7)*(x-15) = 0

((x+7)*(x-15))/(x-8) = 0

((x+7)*(x-15))/(x-8) = 0 // * x-8

(x+7)*(x-15) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-15 )

x-15 = 0 // + 15

x = 15

x in { -7, 15 }