Two real numbers \(x & y\) and are such that \(8y^4+4x^2y^2+4xy^2+2x^3+2y^2+2x = x^2+1. \) Find all possible values of \(x+2y^2 \).
x = 1/2 - 2y^2.
Therefore, all possible values of:
x + 2y^2 = 1/2
+143 
