# How do you factor 8a + 6ax - 21x - 28?

Sep 2, 2016

$8 a + 6 a x - 21 x - 28 = \left(2 a - 7\right) \left(3 x + 4\right)$

#### Explanation:

This will factor by grouping once we swap the first two terms:

$8 a + 6 a x - 21 x - 28 = 6 a x + 8 a - 21 x - 28$

$\textcolor{w h i t e}{8 a + 6 a x - 21 x - 28} = \left(6 a x + 8 a\right) - \left(21 x + 28\right)$

$\textcolor{w h i t e}{8 a + 6 a x - 21 x - 28} = 2 a \left(3 x + 4\right) - 7 \left(3 x + 4\right)$

$\textcolor{w h i t e}{8 a + 6 a x - 21 x - 28} = \left(2 a - 7\right) \left(3 x + 4\right)$