Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.
(3x - 7)(2x + 3) = 0
I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.
You order 4 pizzas for a party. At the end of the party only half of a pizza is left. How much pizza did the guests eat? That's one problem can't think of a 2nd one.