((x-5)/6)^2-((x-5)/6)-6=0

Solution for ((x-5)/6)^2-((x-5)/6)-6=0 equation:

x in (-oo:+oo)

((x-5)/6)^2-((x-5)/6)-6 = 0

((x-5)^2)/(6^2)+(-1*(x-5))/6-6 = 0

((x-5)^2)/(6^2)+(-1*6*(x-5))/(6^2)+(-6*6^2)/(6^2) = 0

(x-5)^2-1*6*(x-5)-6*6^2 = 0

x^2-16*x-216+55 = 0

x^2-16*x-161 = 0

x^2-16*x-161 = 0

x^2-16*x-161 = 0

DELTA = (-16)^2-(-161*1*4)

DELTA = 900

DELTA > 0

x = (900^(1/2)+16)/(1*2) or x = (16-900^(1/2))/(1*2)

x = 23 or x = -7

(x+7)*(x-23) = 0

((x+7)*(x-23))/(6^2) = 0

((x+7)*(x-23))/(6^2) = 0 // * 36

(x+7)*(x-23) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-23 )

x-23 = 0 // + 23

x = 23

x in { -7, 23 }