#### Answer

$(2x-15)(3x-2)$

#### Work Step by Step

The two numbers whose product is $ac=
6(30)=180
$ and whose sum is $b=
-49
$ are $\{
-45,-4
\}$. Using these two numbers to decompose the middle term, then the factored form of the expression, $
6x^2-49x+30
$, is
\begin{array}{l}\require{cancel}
6x^2-45x-4x+30
\\\\=
(6x^2-45x)-(4x-30)
\\\\=
3x(2x-15)-2(2x-15)
\\\\=
(2x-15)(3x-2)
.\end{array}