Factor 3ax-2-x+6a

$3 a x - 2 - x + 6 a$

Step 1

Regroup terms.

$- x + 3 a x - 2 + 6 a$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- x + 3 a x) - 2 + 6 a$

Factor out the greatest common factor (GCF) from each group.

$x \cdot (- 1 + 3 a) + 2 (- 1 + 3 a)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 1 + 3 a$ .

$(- 1 + 3 a) (x + 2)$

Step 4

Factor $- 1$ out of $- 1 + 3 a$ .

Reorder $- 1$ and $3 a$ .

$(3 a - 1) (x + 2)$

Factor $- 1$ out of $3 a$ .

$(- (- 3 a) - 1) (x + 2)$

Rewrite $- 1$ as $- 1 (1)$ .

$(- (- 3 a) - 1 (1)) (x + 2)$

Factor $- 1$ out of $- (- 3 a) - 1 (1)$ .

$- (- 3 a + 1) (x + 2)$

Step 5

Factor.

Factor $- 1$ out of $- 3 a + 1$ .

Factor $- 1$ out of $- 3 a$ .

$- (- (3 a) + 1) (x + 2)$

Rewrite $1$ as $- 1 (- 1)$ .

$- (- (3 a) - 1 (- 1)) (x + 2)$

Factor $- 1$ out of $- (3 a) - 1 (- 1)$ .

$- - (3 a - 1) (x + 2)$

Remove unnecessary parentheses.

$- - 1 (3 a - 1) (x + 2)$

Step 6

Combine exponents.

Factor out negative.

$- ((- (3 a - 1)) (x + 2))$

Multiply $- 1$ by $- 1$ .

$1 ((3 a - 1) (x + 2))$

Multiply $3 a - 1$ by $1$ .

$(3 a - 1) (x + 2)$