Multiplying both sides by x^2 - x:

(x^2 - x)(x^2 - x) = (14 - 24/x)(x^2 - x)

Expanding both sides:

x^4 - 2x^3 + x^2 = 14x^2 - 14x - 24x + 24

Rearranging terms:

x^4 - 2x^3 + x^2 - 14x^2 + 14x + 24x - 24 = 0

Simplifying:

x^4 - 2x^3 - 13x^2 + 38x - 24 = 0

This is the resulting equation.