Simplify (x+1)(2x+3)(3x+4) = (6x^{2}+5)(x-3)$ to the form $0 = Ax^{2}+Bx+C, where A, B, and C are positive integers with a greatest common divisor of 1. What is A+B+C?

See https://web2.0calc.com/questions/help-plz-quick_2