(3x+ 12)(3x- 14)=0

X=-4 or x= 14/3.

[2(x-3)+5(x-2)][2(x-3)-5(x-2)]= 0

(7x- 16)(3x-4)=0

X=6/7 or x=4/3.

(x-3)[(x-3)+4x]=0

(x-3)(5x-3)=0

X=3 or x=3/5

[(2x- 1)-2]^2=0

(2x-3)^2=0

2x-3=0

x=3/2

factoring

? The method is flexible and ingenious. Learning these methods and skills is not only necessary to master the content of factorization, but also plays a very unique role in cultivating problem-solving skills and developing thinking ability. Learning it can not only review the four operations of algebraic expressions, but also lay a good foundation for learning scores; Learning it well can not only cultivate students' ability of observation, thinking development and calculation, but also improve students' ability of comprehensive analysis and problem solving.