-3x2-10x+12=0

Here is what I'm shown as the solution:

What I don't understand is how the last two steps happen. I understand that 10/-6 reduces to -5/3, but not how sqrt(244) is 61? It it that sqrt(244) is sqrt(4*61)?

Thanks.

Originally Posted by gzilnik
-3x2-10x+12=0

Why are you not using the equivalent form?
$3x^2+10x-12=0$

Alright, even if I do I still arrive at the same issue. The issue I run into is that I don't understand what is happening between here:

and here: