(x^2-x+1)(x^2-x+2)-12=0

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Solution for (x^2-x+1)(x^2-x+2)-12=0 equation: 


Simplifying
(x2 + -1x + 1)(x2 + -1x + 2) + -12 = 0

Reorder the terms:
(1 + -1x + x2)(x2 + -1x + 2) + -12 = 0

Reorder the terms:
(1 + -1x + x2)(2 + -1x + x2) + -12 = 0

Multiply (1 + -1x + x2) * (2 + -1x + x2)
(1(2 + -1x + x2) + -1x * (2 + -1x + x2) + x2(2 + -1x + x2)) + -12 = 0
((2 * 1 + -1x * 1 + x2 * 1) + -1x * (2 + -1x + x2) + x2(2 + -1x + x2)) + -12 = 0
((2 + -1x + 1x2) + -1x * (2 + -1x + x2) + x2(2 + -1x + x2)) + -12 = 0
(2 + -1x + 1x2 + (2 * -1x + -1x * -1x + x2 * -1x) + x2(2 + -1x + x2)) + -12 = 0
(2 + -1x + 1x2 + (-2x + 1x2 + -1x3) + x2(2 + -1x + x2)) + -12 = 0
(2 + -1x + 1x2 + -2x + 1x2 + -1x3 + (2 * x2 + -1x * x2 + x2 * x2)) + -12 = 0
(2 + -1x + 1x2 + -2x + 1x2 + -1x3 + (2x2 + -1x3 + x4)) + -12 = 0

Reorder the terms:
(2 + -1x + -2x + 1x2 + 1x2 + 2x2 + -1x3 + -1x3 + x4) + -12 = 0

Combine like terms: -1x + -2x = -3x
(2 + -3x + 1x2 + 1x2 + 2x2 + -1x3 + -1x3 + x4) + -12 = 0

Combine like terms: 1x2 + 1x2 = 2x2
(2 + -3x + 2x2 + 2x2 + -1x3 + -1x3 + x4) + -12 = 0

Combine like terms: 2x2 + 2x2 = 4x2
(2 + -3x + 4x2 + -1x3 + -1x3 + x4) + -12 = 0

Combine like terms: -1x3 + -1x3 = -2x3
(2 + -3x + 4x2 + -2x3 + x4) + -12 = 0

Reorder the terms:
2 + -12 + -3x + 4x2 + -2x3 + x4 = 0

Combine like terms: 2 + -12 = -10
-10 + -3x + 4x2 + -2x3 + x4 = 0

Solving
-10 + -3x + 4x2 + -2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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