How to solve (X-2) (x-3) by factorization (X-2) (x-3) = 12. How to solve the problem with the method of common cause

How to solve (X-2) (x-3) by factorization (X-2) (x-3) = 12. How to solve the problem with the method of common cause


x^2-5x+6=12
x^2-5x-6=0
(x-6)(x+1)=0
x1=6 x2=-1
Do you understand?



Factorization: 16x ^ 2-4xy-6y ^ 2
2 is the meaning of square, to train of thought ha!


16x ^ 2-4xy-6y ^ 2 (extract common factor 2 first)
=2 (8x & sup2; - 2xy-3y & sup2;) (reuse cross multiplication)
=2(2x+y)(4x-3y)



Factorization: 5x ^ 2 + 4xy - 28y ^ 2


(x-2)(5x+14)