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

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


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

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

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

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

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

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

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(4 + x)(1 + x) = 3

Multiply (6 + 5x + x2) * (4 + x)
(6(4 + x) + 5x * (4 + x) + x2(4 + x))(1 + x) = 3
((4 * 6 + x * 6) + 5x * (4 + x) + x2(4 + x))(1 + x) = 3
((24 + 6x) + 5x * (4 + x) + x2(4 + x))(1 + x) = 3
(24 + 6x + (4 * 5x + x * 5x) + x2(4 + x))(1 + x) = 3
(24 + 6x + (20x + 5x2) + x2(4 + x))(1 + x) = 3
(24 + 6x + 20x + 5x2 + (4 * x2 + x * x2))(1 + x) = 3
(24 + 6x + 20x + 5x2 + (4x2 + x3))(1 + x) = 3

Combine like terms: 6x + 20x = 26x
(24 + 26x + 5x2 + 4x2 + x3)(1 + x) = 3

Combine like terms: 5x2 + 4x2 = 9x2
(24 + 26x + 9x2 + x3)(1 + x) = 3

Multiply (24 + 26x + 9x2 + x3) * (1 + x)
(24(1 + x) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) = 3
((1 * 24 + x * 24) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) = 3
((24 + 24x) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) = 3
(24 + 24x + (1 * 26x + x * 26x) + 9x2 * (1 + x) + x3(1 + x)) = 3
(24 + 24x + (26x + 26x2) + 9x2 * (1 + x) + x3(1 + x)) = 3
(24 + 24x + 26x + 26x2 + (1 * 9x2 + x * 9x2) + x3(1 + x)) = 3
(24 + 24x + 26x + 26x2 + (9x2 + 9x3) + x3(1 + x)) = 3
(24 + 24x + 26x + 26x2 + 9x2 + 9x3 + (1 * x3 + x * x3)) = 3
(24 + 24x + 26x + 26x2 + 9x2 + 9x3 + (1x3 + x4)) = 3

Combine like terms: 24x + 26x = 50x
(24 + 50x + 26x2 + 9x2 + 9x3 + 1x3 + x4) = 3

Combine like terms: 26x2 + 9x2 = 35x2
(24 + 50x + 35x2 + 9x3 + 1x3 + x4) = 3

Combine like terms: 9x3 + 1x3 = 10x3
(24 + 50x + 35x2 + 10x3 + x4) = 3

Solving
24 + 50x + 35x2 + 10x3 + x4 = 3

Solving for variable 'x'.

Reorder the terms:
24 + -3 + 50x + 35x2 + 10x3 + x4 = 3 + -3

Combine like terms: 24 + -3 = 21
21 + 50x + 35x2 + 10x3 + x4 = 3 + -3

Combine like terms: 3 + -3 = 0
21 + 50x + 35x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

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