3-(3/(x-7)^2)=0

Solution for 3-(3/(x-7)^2)=0 equation:

D( x )

(x-7)^2 = 0

(x-7)^2 = 0

(x-7)^2 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

3-(3/((x-7)^2)) = 0

3-3*(x-7)^-2 = 0

3-3/((x-7)^2) = 0

(3*(x-7)^2)/((x-7)^2)-3/((x-7)^2) = 0

3*(x-7)^2-3 = 0

3*x^2-42*x+144 = 0

3*x^2-42*x+144 = 0

3*(x^2-14*x+48) = 0

x^2-14*x+48 = 0

DELTA = (-14)^2-(1*4*48)

DELTA = 4

DELTA > 0

x = (4^(1/2)+14)/(1*2) or x = (14-4^(1/2))/(1*2)

x = 8 or x = 6

3*(x-6)*(x-8) = 0

(3*(x-6)*(x-8))/((x-7)^2) = 0

(3*(x-6)*(x-8))/((x-7)^2) = 0 // * (x-7)^2

3*(x-6)*(x-8) = 0

( x-6 )

x-6 = 0 // + 6

x = 6

( x-8 )

x-8 = 0 // + 8

x = 8

x in { 6, 8 }