Find x for the equation: (2 + x) (7 - x) / (5 - x) (4 + x) = 1

x=-4.350480,-1.669843,7.020324

Step-by-step explanation:

Step 1: Multiply both sides by - x+5.

-x3+x2+34x+56=-x+5

-x3+x2+34x+56 - (-x+5) = -x+5 - (-x+5) (Subtract - x+5 from both sides)

-x3+x2+35x+51=0

(Use cubic formula)

x=-4.35048,-1.669844,7.020324

Check answers. (Plug them in to make sure they work.)

x=7.020324 (Works in original equation)

x=-4.35048 (Works in original equation)

x=-1.669844 (Works in original equation)