How do I do the step by step factoring of this expression? 6(x + 5)^2 – 5(x + 5) + 1

Question

How do I do the step by step factoring of this expression?  6(x + 5)^2 – 5(x + 5) + 1

anonymous · Answer

think of it as $6u^2-5u+1$, factor that one, then replace $u$ by $x+5$

anonymous · Answer

i think it factors as $(2u-1)(3u-1)$ but i am lousy at factoring so check it 
then get $(2(x+5)-1)(3(x+5)-1)$ and clean up inside the parentheses

anonymous · Answer

My teacher said the final answer was (2x + 9)(3x + 14) but Im having trouble showing my work to factor it out to get that answer.

anonymous · Answer

$$2(x+5)-1=2x+10-1=2x+9$$ for the first parentheses 
$$3(x+5)-1=3x+15-1=3x+14$$ for the second parentheses

anonymous · Answer

Ok, I think I see what I did wrong. Thanks for your help.