(3x+1)(4x+1)(6x+1)(12x+1)=2

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Solution for (3x+1)(4x+1)(6x+1)(12x+1)=2 equation: 


Simplifying
(3x + 1)(4x + 1)(6x + 1)(12x + 1) = 2

Reorder the terms:
(1 + 3x)(4x + 1)(6x + 1)(12x + 1) = 2

Reorder the terms:
(1 + 3x)(1 + 4x)(6x + 1)(12x + 1) = 2

Reorder the terms:
(1 + 3x)(1 + 4x)(1 + 6x)(12x + 1) = 2

Reorder the terms:
(1 + 3x)(1 + 4x)(1 + 6x)(1 + 12x) = 2

Multiply (1 + 3x) * (1 + 4x)
(1(1 + 4x) + 3x * (1 + 4x))(1 + 6x)(1 + 12x) = 2
((1 * 1 + 4x * 1) + 3x * (1 + 4x))(1 + 6x)(1 + 12x) = 2
((1 + 4x) + 3x * (1 + 4x))(1 + 6x)(1 + 12x) = 2
(1 + 4x + (1 * 3x + 4x * 3x))(1 + 6x)(1 + 12x) = 2
(1 + 4x + (3x + 12x2))(1 + 6x)(1 + 12x) = 2

Combine like terms: 4x + 3x = 7x
(1 + 7x + 12x2)(1 + 6x)(1 + 12x) = 2

Multiply (1 + 7x + 12x2) * (1 + 6x)
(1(1 + 6x) + 7x * (1 + 6x) + 12x2 * (1 + 6x))(1 + 12x) = 2
((1 * 1 + 6x * 1) + 7x * (1 + 6x) + 12x2 * (1 + 6x))(1 + 12x) = 2
((1 + 6x) + 7x * (1 + 6x) + 12x2 * (1 + 6x))(1 + 12x) = 2
(1 + 6x + (1 * 7x + 6x * 7x) + 12x2 * (1 + 6x))(1 + 12x) = 2
(1 + 6x + (7x + 42x2) + 12x2 * (1 + 6x))(1 + 12x) = 2
(1 + 6x + 7x + 42x2 + (1 * 12x2 + 6x * 12x2))(1 + 12x) = 2
(1 + 6x + 7x + 42x2 + (12x2 + 72x3))(1 + 12x) = 2

Combine like terms: 6x + 7x = 13x
(1 + 13x + 42x2 + 12x2 + 72x3)(1 + 12x) = 2

Combine like terms: 42x2 + 12x2 = 54x2
(1 + 13x + 54x2 + 72x3)(1 + 12x) = 2

Multiply (1 + 13x + 54x2 + 72x3) * (1 + 12x)
(1(1 + 12x) + 13x * (1 + 12x) + 54x2 * (1 + 12x) + 72x3 * (1 + 12x)) = 2
((1 * 1 + 12x * 1) + 13x * (1 + 12x) + 54x2 * (1 + 12x) + 72x3 * (1 + 12x)) = 2
((1 + 12x) + 13x * (1 + 12x) + 54x2 * (1 + 12x) + 72x3 * (1 + 12x)) = 2
(1 + 12x + (1 * 13x + 12x * 13x) + 54x2 * (1 + 12x) + 72x3 * (1 + 12x)) = 2
(1 + 12x + (13x + 156x2) + 54x2 * (1 + 12x) + 72x3 * (1 + 12x)) = 2
(1 + 12x + 13x + 156x2 + (1 * 54x2 + 12x * 54x2) + 72x3 * (1 + 12x)) = 2
(1 + 12x + 13x + 156x2 + (54x2 + 648x3) + 72x3 * (1 + 12x)) = 2
(1 + 12x + 13x + 156x2 + 54x2 + 648x3 + (1 * 72x3 + 12x * 72x3)) = 2
(1 + 12x + 13x + 156x2 + 54x2 + 648x3 + (72x3 + 864x4)) = 2

Combine like terms: 12x + 13x = 25x
(1 + 25x + 156x2 + 54x2 + 648x3 + 72x3 + 864x4) = 2

Combine like terms: 156x2 + 54x2 = 210x2
(1 + 25x + 210x2 + 648x3 + 72x3 + 864x4) = 2

Combine like terms: 648x3 + 72x3 = 720x3
(1 + 25x + 210x2 + 720x3 + 864x4) = 2

Solving
1 + 25x + 210x2 + 720x3 + 864x4 = 2

Solving for variable 'x'.

Reorder the terms:
1 + -2 + 25x + 210x2 + 720x3 + 864x4 = 2 + -2

Combine like terms: 1 + -2 = -1
-1 + 25x + 210x2 + 720x3 + 864x4 = 2 + -2

Combine like terms: 2 + -2 = 0
-1 + 25x + 210x2 + 720x3 + 864x4 = 0

The solution to this equation could not be determined.

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