2x^2 - 7x - 4 = 0
...I forgot how to edit a post.
Multiply your a and c values. In this case it would be
Now find 2 numbers that multiply to become the number you've just found (ac) and add to become b.
So you need two numbers that multiply to become -8 and add to become -7. They are -8 and +1.
So break up into
Now you have
[tex] = (2x + 1)(x - 4).
I assume if you're trying to solve the original quadratic that it was set equal to 0...
By the null factor law, or .
So or .