Expanding the left side and simplifying the right side, we get:

2x^2 - 2x + x^2 + 2x + 1 = 3x^2 - 1

Combining like terms, we get:

3x^2 - 1 = 3x^2 - 1

This is a true statement, which means that the equation is true for all values of x. Therefore, the solution is all real numbers.