How do you simplify this: (x^2 + 2x - 8) / (18 -7x -x^2)?

x^2 + 2x - 8

-------------

18 - 7x - x^2

x^2 + 2x - 8

-------------- {switched bottom around}

-x^2 - 7x + 18

x^2 + 2x - 8

---------------- {factored -1 out of bottom}

-1(x^2 + 7x - 18 )

(x + 4)(x - 2)

---------------- {factored top and bottom into two binomials}

-1(x + 9)(x - 2)

-(x + 4)

-------- {cancelled x - 2 on top and bottom}

(x + 9)

-x - 4

------- {distributed negative sign}

x + 9

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