(x-4) (x + 1) = 6 use factorization method to solve equation

(x-4) (x + 1) = 6 use factorization method to solve equation


（x-4）(x+1)=6
x^2-3x-4=6
x^2-3x-10=0
(x-5)(x+2)=0
x=5,x=-2



(X-5) (X-6) = X-5 how to use factorization method to solve equation?


Transference
(x-5)(x-6)-(x-5)=0
(x-5)(x-6-1)=0
(x-5)(x-7)=0
x=5,x=7



Solving equation 4x ^ 2-4ax + A ^ 2-B ^ 2 = 0 by factorization
Fast


4x^2-4ax+a^2-b^2
=(2x-a)^2-b^2
=(2x-a-b)(2x-a+b)=0
x=(a+b)/2,x=(b-a)/2

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