x2 - x - 12
First try and factor that expression.
Notice that it happens to be the product of (x - 4) and (x + 3). This makes your problem easy.
(x2 - x - 12) / (x - 4)
= (x - 4) (x + 3) / (x - 4)
Now just divide numerator and denominator by the common factor. ("Cancel" (x - 4) out of numerator and denominator.)
Wind up with the answer = (x + 3)
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(x2-x-12)/(x-4) = (x+3)
14
x2 + x - 12 = (x + 4)(x - 3)
If: x2+x = 12 Then: x2+x-12 = 0 And using the quadratic formula: x = -4 or x = 3
4 x 2 + 4 = 12 x = 4