ASMO Math 2022 — Grade 11 — School Round Question 4

You are given the following rational value of x such that $x=1/(3-\sqrt{8})$. Solve the following equation with the given value of x: $\frac{x}{x^2-1}(x^2-6x+1)-(x^2-2\sqrt{8}x)+4x^2-4x$.