6a2-7a-3

Factor -7 out of -7a.

6a2-7(a)-3

Rewrite -7 as 2 plus -9

6a2+(2-9)a-3

Apply the distributive property.

6a2+2a-9a-3

6a2+2a-9a-3

Group the first two terms and the last two terms.

(6a2+2a)-9a-3

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

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

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

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

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

Factor 6a^2-7a-3