-35a2-29a-6

Factor -1 out of -35a2.

-(35a2)-29a-6

Factor -1 out of -29a.

-(35a2)-(29a)-6

Rewrite -6 as -1(6).

-(35a2)-(29a)-1(6)

Factor -1 out of -(35a2)-(29a).

-(35a2+29a)-1(6)

Factor -1 out of -(35a2+29a)-1(6).

-(35a2+29a+6)

-(35a2+29a+6)

Factor by grouping.

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=35⋅6=210 and whose sum is b=29.

Factor 29 out of 29a.

-(35a2+29(a)+6)

Rewrite 29 as 14 plus 15

-(35a2+(14+15)a+6)

Apply the distributive property.

-(35a2+14a+15a+6)

-(35a2+14a+15a+6)

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

-((35a2+14a)+15a+6)

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

-(7a(5a+2)+3(5a+2))

-(7a(5a+2)+3(5a+2))

Factor the polynomial by factoring out the greatest common factor, 5a+2.

-((5a+2)(7a+3))

-((5a+2)(7a+3))

Remove unnecessary parentheses.

-(5a+2)(7a+3)

-(5a+2)(7a+3)

Factor -35a^2-29a-6