Here is what I have done so far:
$2(20x^2-19x+3)$ //factored the GCF
$60x² $//Multiplied $3$ into $20x²$
$-15x -4x$ //These two numbers add into $-19x$, and multiply into $60x²$
$2((20x^2-15x)(-4x+3))$ //Put it into form again.
$2(-5x(-4x+3)1(-4x+3))$ //Factored the GCF out of each grouping.
$2(-5x+1)(-4x+3)$ //Reformatted to try and get the final answer.
I am stuck on this step.
Any help would be greatly appreciated. I am a high school math student, so I am obviously not an expert in this stuff. I just want to understand what I did wrong or what the computer wants and learn from it.
Your calculation seems fine, you could try to insert as answer the equivalent
$$40x^2-38x+6=2(5x-1)(4x-3)$$
by a simple change in sign for the two factors.