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.
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.