How do you solve a problem like this one 18x^2-15x-18

Solve the problem by factoring, the answer would be: 3(3x+2)(2x−3)

Ok so this one can be factored like this first:
3(6x^2-5x-6)
Then you have to factor like you normally would for a complex one:
(Put aside the 3 for now just know it's there to make the problem easier)
6x^2-9x+4x-6
3x(2x-3)+2(2x-3)
Adding the 3 put aside now

3(3x+2)(2x-3) is the final factored answer

You need to include the original coordinates of the triangle to answer this. and how much does it translate (move left right up down)