(x^2-3x+1)(x^2+3x+3)+1=0

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Solution for (x^2-3x+1)(x^2+3x+3)+1=0 equation:


Simplifying
(x2 + -3x + 1)(x2 + 3x + 3) + 1 = 0

Reorder the terms:
(1 + -3x + x2)(x2 + 3x + 3) + 1 = 0

Reorder the terms:
(1 + -3x + x2)(3 + 3x + x2) + 1 = 0

Multiply (1 + -3x + x2) * (3 + 3x + x2)
(1(3 + 3x + x2) + -3x * (3 + 3x + x2) + x2(3 + 3x + x2)) + 1 = 0
((3 * 1 + 3x * 1 + x2 * 1) + -3x * (3 + 3x + x2) + x2(3 + 3x + x2)) + 1 = 0
((3 + 3x + 1x2) + -3x * (3 + 3x + x2) + x2(3 + 3x + x2)) + 1 = 0
(3 + 3x + 1x2 + (3 * -3x + 3x * -3x + x2 * -3x) + x2(3 + 3x + x2)) + 1 = 0
(3 + 3x + 1x2 + (-9x + -9x2 + -3x3) + x2(3 + 3x + x2)) + 1 = 0
(3 + 3x + 1x2 + -9x + -9x2 + -3x3 + (3 * x2 + 3x * x2 + x2 * x2)) + 1 = 0
(3 + 3x + 1x2 + -9x + -9x2 + -3x3 + (3x2 + 3x3 + x4)) + 1 = 0

Reorder the terms:
(3 + 3x + -9x + 1x2 + -9x2 + 3x2 + -3x3 + 3x3 + x4) + 1 = 0

Combine like terms: 3x + -9x = -6x
(3 + -6x + 1x2 + -9x2 + 3x2 + -3x3 + 3x3 + x4) + 1 = 0

Combine like terms: 1x2 + -9x2 = -8x2
(3 + -6x + -8x2 + 3x2 + -3x3 + 3x3 + x4) + 1 = 0

Combine like terms: -8x2 + 3x2 = -5x2
(3 + -6x + -5x2 + -3x3 + 3x3 + x4) + 1 = 0

Combine like terms: -3x3 + 3x3 = 0
(3 + -6x + -5x2 + 0 + x4) + 1 = 0
(3 + -6x + -5x2 + x4) + 1 = 0

Reorder the terms:
3 + 1 + -6x + -5x2 + x4 = 0

Combine like terms: 3 + 1 = 4
4 + -6x + -5x2 + x4 = 0

Solving
4 + -6x + -5x2 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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