x^2-5x+6=0
<=>x^2-2x-3x+6=0
<=>(x^2-2x)-(3x-6)=0
<=>x(x-2)-3(x-2)=0
<=>(x-2)(x-3)=0
<=>x-2=0 hoac x-3=0
<=>x=2 hoac x=3
\(x^2-5x+6=x^2-2x-3x+6=x\left(x-2\right)-3\left(x-2\right)=\left(x-3\right)\left(x-2\right)=0\)
=> x-3=0 hoặc x-2=0
=> x=3 hoặc x=2