x-6/(x-1)(x+3)

Solution for x-6/(x-1)(x+3) equation:

D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

x-((6/(x-1))*(x+3)) = 0

x-6*(x-1)^-1*(x+3) = 0

(-6*(x+3))/(x-1)+x = 0

(-6*(x+3))/(x-1)+(x*(x-1))/(x-1) = 0

x*(x-1)-6*(x+3) = 0

x^2-7*x-18 = 0

x^2-7*x-18 = 0

x^2-7*x-18 = 0

DELTA = (-7)^2-(-18*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(1*2) or x = (7-121^(1/2))/(1*2)

x = 9 or x = -2

(x+2)*(x-9) = 0

((x+2)*(x-9))/(x-1) = 0

((x+2)*(x-9))/(x-1) = 0 // * x-1

(x+2)*(x-9) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-9 )

x-9 = 0 // + 9

x = 9

x in { -2, 9 }