Answer:
x=4 x=-2
Explanation:
x+4 x
----------- = ------------
4 x-2
Using cross products
(x+4)(x-2) = 4x
FOIL
x^2 -2x +4x -8 = 4x
Combine like terms
x^2 +2x -8 = 4x
Subtract 4x from each side
x^2 +2x-4x -8 = 4x-4x
x^2 -2x-8 =0
Factor
What 2 numbers multiply to -8 and add to -2
-4*2 =-8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4+4 =0+4 x+2-2=0-2
x=4 x=-2