Note: w=x for the explanation.
Notice that we can rewrite the given trinomial as:
[tex]2\left(3x^2-14x+16\right).[/tex]Now, we can write
[tex]3x^2-14x+16[/tex]as
[tex](3x^2-6x)-(8x+16)=3x(x-2)-8(x-2).[/tex]Finally, factoring out the (x-2), we get:
[tex]6x^2-28x+32=2(x-2)(3x-8).[/tex]