(x^2+6x+3)(x^2+6x+3)+6(x^2+6x+3)+3=

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Solution for (x^2+6x+3)(x^2+6x+3)+6(x^2+6x+3)+3= equation: 


Simplifying
(x2 + 6x + 3)(x2 + 6x + 3) + 6(x2 + 6x + 3) + 3 = 0

Reorder the terms:
(3 + 6x + x2)(x2 + 6x + 3) + 6(x2 + 6x + 3) + 3 = 0

Reorder the terms:
(3 + 6x + x2)(3 + 6x + x2) + 6(x2 + 6x + 3) + 3 = 0

Multiply (3 + 6x + x2) * (3 + 6x + x2)
(3(3 + 6x + x2) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) + 6(x2 + 6x + 3) + 3 = 0
((3 * 3 + 6x * 3 + x2 * 3) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) + 6(x2 + 6x + 3) + 3 = 0
((9 + 18x + 3x2) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) + 6(x2 + 6x + 3) + 3 = 0
(9 + 18x + 3x2 + (3 * 6x + 6x * 6x + x2 * 6x) + x2(3 + 6x + x2)) + 6(x2 + 6x + 3) + 3 = 0
(9 + 18x + 3x2 + (18x + 36x2 + 6x3) + x2(3 + 6x + x2)) + 6(x2 + 6x + 3) + 3 = 0
(9 + 18x + 3x2 + 18x + 36x2 + 6x3 + (3 * x2 + 6x * x2 + x2 * x2)) + 6(x2 + 6x + 3) + 3 = 0
(9 + 18x + 3x2 + 18x + 36x2 + 6x3 + (3x2 + 6x3 + x4)) + 6(x2 + 6x + 3) + 3 = 0

Reorder the terms:
(9 + 18x + 18x + 3x2 + 36x2 + 3x2 + 6x3 + 6x3 + x4) + 6(x2 + 6x + 3) + 3 = 0

Combine like terms: 18x + 18x = 36x
(9 + 36x + 3x2 + 36x2 + 3x2 + 6x3 + 6x3 + x4) + 6(x2 + 6x + 3) + 3 = 0

Combine like terms: 3x2 + 36x2 = 39x2
(9 + 36x + 39x2 + 3x2 + 6x3 + 6x3 + x4) + 6(x2 + 6x + 3) + 3 = 0

Combine like terms: 39x2 + 3x2 = 42x2
(9 + 36x + 42x2 + 6x3 + 6x3 + x4) + 6(x2 + 6x + 3) + 3 = 0

Combine like terms: 6x3 + 6x3 = 12x3
(9 + 36x + 42x2 + 12x3 + x4) + 6(x2 + 6x + 3) + 3 = 0

Reorder the terms:
9 + 36x + 42x2 + 12x3 + x4 + 6(3 + 6x + x2) + 3 = 0
9 + 36x + 42x2 + 12x3 + x4 + (3 * 6 + 6x * 6 + x2 * 6) + 3 = 0
9 + 36x + 42x2 + 12x3 + x4 + (18 + 36x + 6x2) + 3 = 0

Reorder the terms:
9 + 18 + 3 + 36x + 36x + 42x2 + 6x2 + 12x3 + x4 = 0

Combine like terms: 9 + 18 = 27
27 + 3 + 36x + 36x + 42x2 + 6x2 + 12x3 + x4 = 0

Combine like terms: 27 + 3 = 30
30 + 36x + 36x + 42x2 + 6x2 + 12x3 + x4 = 0

Combine like terms: 36x + 36x = 72x
30 + 72x + 42x2 + 6x2 + 12x3 + x4 = 0

Combine like terms: 42x2 + 6x2 = 48x2
30 + 72x + 48x2 + 12x3 + x4 = 0

Solving
30 + 72x + 48x2 + 12x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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