Can someone tell me if I am right?

Factor by group

20x^2-12x=15x-9
20x^2+3x+9
(4x+3)(5x-3) answer

20x^2-27x-9

meant +9 and then do the rest.

yes, you are right, but you should have maintained your equation.

20x^2+3x+9 = 0
(4x+3)(5x-3) = 0

You could have tested your answer by expanding it to get back the
20x^2+3x+9 = 0

oops, just looked at your second line and assumed you would have had that one correct,

Chad is correct above.

So my second line should be:

20x^2-27x+9=0

yes, and it factors to

(5x-3)(4x-3) = 0

test the answer by expanding it

Sorry, I put and = when it should have been a +! Is the one below right?

20x^2-12x+15x-9

20x^2-12x+15x-9

= 20x^2+3x-9
= (4x+3)(5x-3)