She made the mistake in step 4
She should have divided by -2 not just 2 alone
Answer: x < -3 or x > 5
Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.
If you do the long division you'll see that it is x - 2.
-6x-x^2-8 = -(x+2) x (x+4)
(This is if you are factoring the expression)