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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: x3 + x3 = 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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