To solve this equation, we first need to expand the left side of the equation:
(x^2-4x+1)(x^2-4x+2) = x^4 - 4x^3 + 2x^2 - 4x^3 + 16x^2 - 8x + x^2 - 4x + 2
Combining like terms, we get:
x^4 - 8x^3 + 19x^2 - 16x + 2 = 12
Now, we can simplify the equation by subtracting 12 from both sides:
x^4 - 8x^3 + 19x^2 - 16x - 10 = 0
This is a quartic equation that can be solved using various methods such as factoring, graphing, or numerical methods.
To solve this equation, we first need to expand the left side of the equation:
(x^2-4x+1)(x^2-4x+2) = x^4 - 4x^3 + 2x^2 - 4x^3 + 16x^2 - 8x + x^2 - 4x + 2
Combining like terms, we get:
x^4 - 8x^3 + 19x^2 - 16x + 2 = 12
Now, we can simplify the equation by subtracting 12 from both sides:
x^4 - 8x^3 + 19x^2 - 16x - 10 = 0
This is a quartic equation that can be solved using various methods such as factoring, graphing, or numerical methods.