(x^2+4x+1)(x^2+4x+5)+4=0

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Solution for (x^2+4x+1)(x^2+4x+5)+4=0 equation: 


Simplifying
(x2 + 4x + 1)(x2 + 4x + 5) + 4 = 0

Reorder the terms:
(1 + 4x + x2)(x2 + 4x + 5) + 4 = 0

Reorder the terms:
(1 + 4x + x2)(5 + 4x + x2) + 4 = 0

Multiply (1 + 4x + x2) * (5 + 4x + x2)
(1(5 + 4x + x2) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) + 4 = 0
((5 * 1 + 4x * 1 + x2 * 1) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) + 4 = 0
((5 + 4x + 1x2) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) + 4 = 0
(5 + 4x + 1x2 + (5 * 4x + 4x * 4x + x2 * 4x) + x2(5 + 4x + x2)) + 4 = 0
(5 + 4x + 1x2 + (20x + 16x2 + 4x3) + x2(5 + 4x + x2)) + 4 = 0
(5 + 4x + 1x2 + 20x + 16x2 + 4x3 + (5 * x2 + 4x * x2 + x2 * x2)) + 4 = 0
(5 + 4x + 1x2 + 20x + 16x2 + 4x3 + (5x2 + 4x3 + x4)) + 4 = 0

Reorder the terms:
(5 + 4x + 20x + 1x2 + 16x2 + 5x2 + 4x3 + 4x3 + x4) + 4 = 0

Combine like terms: 4x + 20x = 24x
(5 + 24x + 1x2 + 16x2 + 5x2 + 4x3 + 4x3 + x4) + 4 = 0

Combine like terms: 1x2 + 16x2 = 17x2
(5 + 24x + 17x2 + 5x2 + 4x3 + 4x3 + x4) + 4 = 0

Combine like terms: 17x2 + 5x2 = 22x2
(5 + 24x + 22x2 + 4x3 + 4x3 + x4) + 4 = 0

Combine like terms: 4x3 + 4x3 = 8x3
(5 + 24x + 22x2 + 8x3 + x4) + 4 = 0

Reorder the terms:
5 + 4 + 24x + 22x2 + 8x3 + x4 = 0

Combine like terms: 5 + 4 = 9
9 + 24x + 22x2 + 8x3 + x4 = 0

Solving
9 + 24x + 22x2 + 8x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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