(x-3)(x-4)=34/(33*33)

Solution for (x-3)(x-4)=34/(33*33) equation:

x in (-oo:+oo)

(x-3)*(x-4) = 34/(33*33) // - 34/(33*33)

(x-3)*(x-4)-(34/(33*33)) = 0

(x-3)*(x-4)-34/1089 = 0

(1089*(x-3)*(x-4))/1089-34/1089 = 0

1089*(x-3)*(x-4)-34 = 0

1089*x^2-7623*x+13034 = 0

1089*x^2-7623*x+13034 = 0

1089*x^2-7623*x+13034 = 0

DELTA = (-7623)^2-(4*1089*13034)

DELTA = 1334025

DELTA > 0

x = (1334025^(1/2)+7623)/(2*1089) or x = (7623-1334025^(1/2))/(2*1089)

x = 133/33 or x = 98/33

(x-98/33)*(x-133/33) = 0

((x-98/33)*(x-133/33))/1089 = 0

((x-98/33)*(x-133/33))/1089 = 0 // * 1089

(x-98/33)*(x-133/33) = 0

( x-133/33 )

x-133/33 = 0 // + 133/33

x = 133/33

( x-98/33 )

x-98/33 = 0 // + 98/33

x = 98/33

x in { 133/33, 98/33 }