3x^2 – 4x – 4 = 0
multiply the first coefficient by the last coefficient:
3 x -4= -12
Now think, what adds to the 2nd coefficient (-4) and multiplies to -12?
-6 and 2
rewrite your equation:
3x^2 - 6x + 2x - 4 <==== this is essentially the same equation
now split it...
3x^2 - 6x
AND
2x -4
factor each one so that both share a common factor:
3x(x-2)
AND
2(x-2)
Now combine them:
(3x+2)(x-2)