\(6x^2-12x-7x+14\)
\(=6x\left(x-2\right)-7\left(x-2\right)\)
\(=\left(x-2\right)\left(6x-7\right)\)
6x2 - 12x - 7x = 14
<=> 6x2 - 19x - 14 = 0
<=> 6x2 - 12x - 7x - 14 = 0
<=> 6x(x - 2) - 7(x - 2) = 0
<=> (6x - 7)(x - 2) = 0
<=> \(\left[{}\begin{matrix}6x-7=0\\x-2=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=\dfrac{7}{6}\\x=2\end{matrix}\right.\)
6x2 - 12x - 7x + 14
= 6x(x - 2) - 7(x - 2)
= (6x - 7)(x - 2)
=6x²-12x-7x+14
=6x(x-2)-7x+7.2
=6x(x-2)-7(x+2)
=6x(x-2)+7(x-2)
=(x-2)(6x+7)
