The instructions say to solve by factoring, but i get stuck after i eliminate the denominator

30.
    5                3
= 4 +
   x+4            x-2

    5              4 (x - 2) + 3
=
    x+4              x - 2

    5              4x - 8 + 3
=
    x+4              x - 2

   5              4x - 5
=
    x+4          x - 2

5(x-2) = (4x -5)(x+4)
5x - 10 = 4x^2  - 5x + 16x - 20
4x^2 + 6x - 10 = 0
2(2x^2 + 3x - 5) = 0
2(2x + 5)(x - 1) = 0
2x + 5 = 0; x = -5/2
x - 1 = 0; x = 1

answer
x = -5/2 and x = 1

Tradition or cel animation is consider the older form of animation. They have to draw frame by frame to create a sequence. Animators usually had to test the sequence in a draft to see how many frames would it take. This made it tough and expensive

Now animation can be done in 2D using a computer, this means characters, environments, visual effects and all is done using this technique. Before the computer animation was done taking photographs of drawings, as we explain in the previous paragraph. Cels were created after placing each photograph on transparent acetate. With this method, they had to draw several images; it was exhausting work. Nowadays with computers, this job is done by a software, but you still need drawing skills.  

Of course, you can now secure your work as you can do and undo as many times as you want, because everything is saved and can be easily loaded.

Anyway it is necessary to work hard and train to know the programs and their possibilities, tools, and curves. That way is easier to show your own  technical and artistic skills.