(x^2+3x+2)(x^2+7x+12)+(x^2+5x-6)=0

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Solution for (x^2+3x+2)(x^2+7x+12)+(x^2+5x-6)=0 equation: 


Simplifying
(x2 + 3x + 2)(x2 + 7x + 12) + (x2 + 5x + -6) = 0

Reorder the terms:
(2 + 3x + x2)(x2 + 7x + 12) + (x2 + 5x + -6) = 0

Reorder the terms:
(2 + 3x + x2)(12 + 7x + x2) + (x2 + 5x + -6) = 0

Multiply (2 + 3x + x2) * (12 + 7x + x2)
(2(12 + 7x + x2) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) + (x2 + 5x + -6) = 0
((12 * 2 + 7x * 2 + x2 * 2) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) + (x2 + 5x + -6) = 0
((24 + 14x + 2x2) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) + (x2 + 5x + -6) = 0
(24 + 14x + 2x2 + (12 * 3x + 7x * 3x + x2 * 3x) + x2(12 + 7x + x2)) + (x2 + 5x + -6) = 0
(24 + 14x + 2x2 + (36x + 21x2 + 3x3) + x2(12 + 7x + x2)) + (x2 + 5x + -6) = 0
(24 + 14x + 2x2 + 36x + 21x2 + 3x3 + (12 * x2 + 7x * x2 + x2 * x2)) + (x2 + 5x + -6) = 0
(24 + 14x + 2x2 + 36x + 21x2 + 3x3 + (12x2 + 7x3 + x4)) + (x2 + 5x + -6) = 0

Reorder the terms:
(24 + 14x + 36x + 2x2 + 21x2 + 12x2 + 3x3 + 7x3 + x4) + (x2 + 5x + -6) = 0

Combine like terms: 14x + 36x = 50x
(24 + 50x + 2x2 + 21x2 + 12x2 + 3x3 + 7x3 + x4) + (x2 + 5x + -6) = 0

Combine like terms: 2x2 + 21x2 = 23x2
(24 + 50x + 23x2 + 12x2 + 3x3 + 7x3 + x4) + (x2 + 5x + -6) = 0

Combine like terms: 23x2 + 12x2 = 35x2
(24 + 50x + 35x2 + 3x3 + 7x3 + x4) + (x2 + 5x + -6) = 0

Combine like terms: 3x3 + 7x3 = 10x3
(24 + 50x + 35x2 + 10x3 + x4) + (x2 + 5x + -6) = 0

Reorder the terms:
24 + 50x + 35x2 + 10x3 + x4 + (-6 + 5x + x2) = 0

Remove parenthesis around (-6 + 5x + x2)
24 + 50x + 35x2 + 10x3 + x4 + -6 + 5x + x2 = 0

Reorder the terms:
24 + -6 + 50x + 5x + 35x2 + x2 + 10x3 + x4 = 0

Combine like terms: 24 + -6 = 18
18 + 50x + 5x + 35x2 + x2 + 10x3 + x4 = 0

Combine like terms: 50x + 5x = 55x
18 + 55x + 35x2 + x2 + 10x3 + x4 = 0

Combine like terms: 35x2 + x2 = 36x2
18 + 55x + 36x2 + 10x3 + x4 = 0

Solving
18 + 55x + 36x2 + 10x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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