Question

((x-2)^(2/3)) +(2*( (x-2)^(1/3)) - 8 = 0
solve for x

Answer 1

Let (x-2)^(1/3) be 't'.

then the whole equation transforms to:
t^2 + 2t - 8 =0

pretty much like a quadratic, eh? what values of 't' do you get then?

Answer 2

A solution is attached.