(x^2-4x+1)(x^2-4x+2)=12

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Solution for (x^2-4x+1)(x^2-4x+2)=12 equation: 


Simplifying
(x2 + -4x + 1)(x2 + -4x + 2) = 12

Reorder the terms:
(1 + -4x + x2)(x2 + -4x + 2) = 12

Reorder the terms:
(1 + -4x + x2)(2 + -4x + x2) = 12

Multiply (1 + -4x + x2) * (2 + -4x + x2)
(1(2 + -4x + x2) + -4x * (2 + -4x + x2) + x2(2 + -4x + x2)) = 12
((2 * 1 + -4x * 1 + x2 * 1) + -4x * (2 + -4x + x2) + x2(2 + -4x + x2)) = 12
((2 + -4x + 1x2) + -4x * (2 + -4x + x2) + x2(2 + -4x + x2)) = 12
(2 + -4x + 1x2 + (2 * -4x + -4x * -4x + x2 * -4x) + x2(2 + -4x + x2)) = 12
(2 + -4x + 1x2 + (-8x + 16x2 + -4x3) + x2(2 + -4x + x2)) = 12
(2 + -4x + 1x2 + -8x + 16x2 + -4x3 + (2 * x2 + -4x * x2 + x2 * x2)) = 12
(2 + -4x + 1x2 + -8x + 16x2 + -4x3 + (2x2 + -4x3 + x4)) = 12

Reorder the terms:
(2 + -4x + -8x + 1x2 + 16x2 + 2x2 + -4x3 + -4x3 + x4) = 12

Combine like terms: -4x + -8x = -12x
(2 + -12x + 1x2 + 16x2 + 2x2 + -4x3 + -4x3 + x4) = 12

Combine like terms: 1x2 + 16x2 = 17x2
(2 + -12x + 17x2 + 2x2 + -4x3 + -4x3 + x4) = 12

Combine like terms: 17x2 + 2x2 = 19x2
(2 + -12x + 19x2 + -4x3 + -4x3 + x4) = 12

Combine like terms: -4x3 + -4x3 = -8x3
(2 + -12x + 19x2 + -8x3 + x4) = 12

Solving
2 + -12x + 19x2 + -8x3 + x4 = 12

Solving for variable 'x'.

Reorder the terms:
2 + -12 + -12x + 19x2 + -8x3 + x4 = 12 + -12

Combine like terms: 2 + -12 = -10
-10 + -12x + 19x2 + -8x3 + x4 = 12 + -12

Combine like terms: 12 + -12 = 0
-10 + -12x + 19x2 + -8x3 + x4 = 0

The solution to this equation could not be determined.

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