Find all values of x such that 6x = 35/x - 42/x^2. If you find more than one value, then list your solutions in increasing order, separated by commas.
6x = 35/x - 42x^2 multiply through by x^2
6x^3 = 35x - 42 rearrange as
6x^3 - 35x + 42 = 0
This only has one real solution x ≈ -2.8754
The complex solutions are
x ≈ 1.4377 - .6062 i and x ≈ 1.4377 + .6062 i