Example 1 Factorization m+4m- 12: The constant term-12 in this question can be divided into-1× 12, -2×6, -3×4, -4×3,-. Only in line with the solution of this problem: because 1 -2 1 ╳ 6, m+4m- 12=(m-2)(m+6) Example 2 factorization analysis The 5x+6x-8: 5 in this problem can be divided into/kloc-0. Solution: Because 2 -5 3 ╳ 5, the original equation can be changed to (2x-5)(3x+5)=0, so x 1=5/2 x2=-5/3.