Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 154863This question is from textbook
: 12/√(5x+6)=√(2x+5)
Ok I know you square each side to come up with 144/5x+6=2x+5
Then you multiply 5x+6 to each side.
144=(5x+6)(2x+5)
144=10x^2+25x+12x+30
move 144 to the other side of the equal which makes

0=10x^2+37x-114
0=(2x )(5x )
I can not figure out what goes along with 2x and 5x to make it equal.
Thanks
This question is from textbook
: 12/√(5x+6)=√(2x+5)
Ok I know you square each side to come up with 144/5x+6=2x+5
Then you multiply 5x+6 to each side.
144=(5x+6)(2x+5)
144=10x^2+25x+12x+30
move 144 to the other side of the equal which makes

0=10x^2+37x-114
0=(2x )(5x )
I can not figure out what goes along with 2x and 5x to make it equal.
Thanks

Answer by Fombitz(1744) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of (2x+a)(5x+b), look at,
10x^2+37x-114=(x+a)(10x+b)
Remember ab=-114 and a+b=37.
Try that and post another question if you get stuck.
Also, you can always use the quadratic formula.