\(6x^2-12x-7x+14\)
\(=6x\left(x-2\right)-7\left(x-2\right)=\left(x-2\right)\left(6x-7\right)\)
\(6x^2-12x-7x+14=6x^2-19x+14=\left(6x^2-12x\right)-\left(7x-14\right)=6x\left(x-2\right)-7\left(x-2\right)=\left(x-2\right)\left(6x-7\right)\)
= (6x2 - 12x) - (7x - 14) = 6x.(x - 2) - 7.(x - 2) = (x - 2).(6x - 7)