Find all values of x such that 6 = 35/x - 49/x^2 + 5/x^2. If you find more than one value, then list your solutions in increasing order, separated by commas.
Multiply through by x^2
6x^2 = 35x - 49 + 5
6x^2 = 35x - 44 rearrange as
6x^2 - 35x + 44 = 0
(x - 4) ( 6x - 11) = 0
x - 4 = 0 6x - 11 = 0
x = 4 6x = 11
x =11/ 6
x = 11/6 , 4
