Expanding the left side of the equation:

(x^2-x)^2 = x^4 - 2x^3 + x^2

Adding 12 to both sides:

x^4 - 2x^3 + x^2 + 12 = 8x^2 - 8x

Subtracting 8x^2 from both sides:

x^4 - 10x^2 - 2x^3 + x^2 + 12 = -8x

Rearranging the terms:

x^4 - 2x^3 - 9x^2 + 12 + 8x = 0

Therefore, the solution to the equation is x = -1, x = 2, x = 3.