(2x^4+3x^3+6x^2+x+6)*(x^2+2x+3)=

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Solution for (2x^4+3x^3+6x^2+x+6)*(x^2+2x+3)= equation: 


Simplifying
(2x4 + 3x3 + 6x2 + x + 6)(x2 + 2x + 3) = 0

Reorder the terms:
(6 + x + 6x2 + 3x3 + 2x4)(x2 + 2x + 3) = 0

Reorder the terms:
(6 + x + 6x2 + 3x3 + 2x4)(3 + 2x + x2) = 0

Multiply (6 + x + 6x2 + 3x3 + 2x4) * (3 + 2x + x2)
(6(3 + 2x + x2) + x(3 + 2x + x2) + 6x2 * (3 + 2x + x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
((3 * 6 + 2x * 6 + x2 * 6) + x(3 + 2x + x2) + 6x2 * (3 + 2x + x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
((18 + 12x + 6x2) + x(3 + 2x + x2) + 6x2 * (3 + 2x + x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + (3 * x + 2x * x + x2 * x) + 6x2 * (3 + 2x + x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + (3x + 2x2 + x3) + 6x2 * (3 + 2x + x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + (3 * 6x2 + 2x * 6x2 + x2 * 6x2) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + (18x2 + 12x3 + 6x4) + 3x3 * (3 + 2x + x2) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + 18x2 + 12x3 + 6x4 + (3 * 3x3 + 2x * 3x3 + x2 * 3x3) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + 18x2 + 12x3 + 6x4 + (9x3 + 6x4 + 3x5) + 2x4 * (3 + 2x + x2)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + 18x2 + 12x3 + 6x4 + 9x3 + 6x4 + 3x5 + (3 * 2x4 + 2x * 2x4 + x2 * 2x4)) = 0
(18 + 12x + 6x2 + 3x + 2x2 + x3 + 18x2 + 12x3 + 6x4 + 9x3 + 6x4 + 3x5 + (6x4 + 4x5 + 2x6)) = 0

Reorder the terms:
(18 + 12x + 3x + 6x2 + 2x2 + 18x2 + x3 + 12x3 + 9x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 12x + 3x = 15x
(18 + 15x + 6x2 + 2x2 + 18x2 + x3 + 12x3 + 9x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 6x2 + 2x2 = 8x2
(18 + 15x + 8x2 + 18x2 + x3 + 12x3 + 9x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 8x2 + 18x2 = 26x2
(18 + 15x + 26x2 + x3 + 12x3 + 9x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: x3 + 12x3 = 13x3
(18 + 15x + 26x2 + 13x3 + 9x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 13x3 + 9x3 = 22x3
(18 + 15x + 26x2 + 22x3 + 6x4 + 6x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 6x4 + 6x4 = 12x4
(18 + 15x + 26x2 + 22x3 + 12x4 + 6x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 12x4 + 6x4 = 18x4
(18 + 15x + 26x2 + 22x3 + 18x4 + 3x5 + 4x5 + 2x6) = 0

Combine like terms: 3x5 + 4x5 = 7x5
(18 + 15x + 26x2 + 22x3 + 18x4 + 7x5 + 2x6) = 0

Solving
18 + 15x + 26x2 + 22x3 + 18x4 + 7x5 + 2x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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