The trick in this question is in the first step i.e. multiplying by (x + 1)^2

After that you could expand and solve the quadratic giving the solutions -2 and -1.

The region test below could also be done by considering the quadratic graph.

See examples in uploaded video below.

After that you could expand and solve the quadratic giving the solutions -2 and -1.

The region test below could also be done by considering the quadratic graph.

See examples in uploaded video below.