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.
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.