(x^2+3x+4)(x^2+3x+5)=6

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Solution for (x^2+3x+4)(x^2+3x+5)=6 equation:


Simplifying
(x2 + 3x + 4)(x2 + 3x + 5) = 6

Reorder the terms:
(4 + 3x + x2)(x2 + 3x + 5) = 6

Reorder the terms:
(4 + 3x + x2)(5 + 3x + x2) = 6

Multiply (4 + 3x + x2) * (5 + 3x + x2)
(4(5 + 3x + x2) + 3x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 6
((5 * 4 + 3x * 4 + x2 * 4) + 3x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 6
((20 + 12x + 4x2) + 3x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 6
(20 + 12x + 4x2 + (5 * 3x + 3x * 3x + x2 * 3x) + x2(5 + 3x + x2)) = 6
(20 + 12x + 4x2 + (15x + 9x2 + 3x3) + x2(5 + 3x + x2)) = 6
(20 + 12x + 4x2 + 15x + 9x2 + 3x3 + (5 * x2 + 3x * x2 + x2 * x2)) = 6
(20 + 12x + 4x2 + 15x + 9x2 + 3x3 + (5x2 + 3x3 + x4)) = 6

Reorder the terms:
(20 + 12x + 15x + 4x2 + 9x2 + 5x2 + 3x3 + 3x3 + x4) = 6

Combine like terms: 12x + 15x = 27x
(20 + 27x + 4x2 + 9x2 + 5x2 + 3x3 + 3x3 + x4) = 6

Combine like terms: 4x2 + 9x2 = 13x2
(20 + 27x + 13x2 + 5x2 + 3x3 + 3x3 + x4) = 6

Combine like terms: 13x2 + 5x2 = 18x2
(20 + 27x + 18x2 + 3x3 + 3x3 + x4) = 6

Combine like terms: 3x3 + 3x3 = 6x3
(20 + 27x + 18x2 + 6x3 + x4) = 6

Solving
20 + 27x + 18x2 + 6x3 + x4 = 6

Solving for variable 'x'.

Reorder the terms:
20 + -6 + 27x + 18x2 + 6x3 + x4 = 6 + -6

Combine like terms: 20 + -6 = 14
14 + 27x + 18x2 + 6x3 + x4 = 6 + -6

Combine like terms: 6 + -6 = 0
14 + 27x + 18x2 + 6x3 + x4 = 0

The solution to this equation could not be determined.

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