solve this using zero product property (−4x−3)(x−3)

Answer 1

(−4x−3)(x−3) = 0

-4x - 3 = 0 ... x = -3/4

x - 3 = 0 ... x = 3

Answer 2

extra credit: what is the zero property?
Why is it that we solve by factoring and setting to zero?