(x+3)(x+1)(x+4)(x+6)=112

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Solution for (x+3)(x+1)(x+4)(x+6)=112 equation: 


Simplifying
(x + 3)(x + 1)(x + 4)(x + 6) = 112

Reorder the terms:
(3 + x)(x + 1)(x + 4)(x + 6) = 112

Reorder the terms:
(3 + x)(1 + x)(x + 4)(x + 6) = 112

Reorder the terms:
(3 + x)(1 + x)(4 + x)(x + 6) = 112

Reorder the terms:
(3 + x)(1 + x)(4 + x)(6 + x) = 112

Multiply (3 + x) * (1 + x)
(3(1 + x) + x(1 + x))(4 + x)(6 + x) = 112
((1 * 3 + x * 3) + x(1 + x))(4 + x)(6 + x) = 112
((3 + 3x) + x(1 + x))(4 + x)(6 + x) = 112
(3 + 3x + (1 * x + x * x))(4 + x)(6 + x) = 112
(3 + 3x + (1x + x2))(4 + x)(6 + x) = 112

Combine like terms: 3x + 1x = 4x
(3 + 4x + x2)(4 + x)(6 + x) = 112

Multiply (3 + 4x + x2) * (4 + x)
(3(4 + x) + 4x * (4 + x) + x2(4 + x))(6 + x) = 112
((4 * 3 + x * 3) + 4x * (4 + x) + x2(4 + x))(6 + x) = 112
((12 + 3x) + 4x * (4 + x) + x2(4 + x))(6 + x) = 112
(12 + 3x + (4 * 4x + x * 4x) + x2(4 + x))(6 + x) = 112
(12 + 3x + (16x + 4x2) + x2(4 + x))(6 + x) = 112
(12 + 3x + 16x + 4x2 + (4 * x2 + x * x2))(6 + x) = 112
(12 + 3x + 16x + 4x2 + (4x2 + x3))(6 + x) = 112

Combine like terms: 3x + 16x = 19x
(12 + 19x + 4x2 + 4x2 + x3)(6 + x) = 112

Combine like terms: 4x2 + 4x2 = 8x2
(12 + 19x + 8x2 + x3)(6 + x) = 112

Multiply (12 + 19x + 8x2 + x3) * (6 + x)
(12(6 + x) + 19x * (6 + x) + 8x2 * (6 + x) + x3(6 + x)) = 112
((6 * 12 + x * 12) + 19x * (6 + x) + 8x2 * (6 + x) + x3(6 + x)) = 112
((72 + 12x) + 19x * (6 + x) + 8x2 * (6 + x) + x3(6 + x)) = 112
(72 + 12x + (6 * 19x + x * 19x) + 8x2 * (6 + x) + x3(6 + x)) = 112
(72 + 12x + (114x + 19x2) + 8x2 * (6 + x) + x3(6 + x)) = 112
(72 + 12x + 114x + 19x2 + (6 * 8x2 + x * 8x2) + x3(6 + x)) = 112
(72 + 12x + 114x + 19x2 + (48x2 + 8x3) + x3(6 + x)) = 112
(72 + 12x + 114x + 19x2 + 48x2 + 8x3 + (6 * x3 + x * x3)) = 112
(72 + 12x + 114x + 19x2 + 48x2 + 8x3 + (6x3 + x4)) = 112

Combine like terms: 12x + 114x = 126x
(72 + 126x + 19x2 + 48x2 + 8x3 + 6x3 + x4) = 112

Combine like terms: 19x2 + 48x2 = 67x2
(72 + 126x + 67x2 + 8x3 + 6x3 + x4) = 112

Combine like terms: 8x3 + 6x3 = 14x3
(72 + 126x + 67x2 + 14x3 + x4) = 112

Solving
72 + 126x + 67x2 + 14x3 + x4 = 112

Solving for variable 'x'.

Reorder the terms:
72 + -112 + 126x + 67x2 + 14x3 + x4 = 112 + -112

Combine like terms: 72 + -112 = -40
-40 + 126x + 67x2 + 14x3 + x4 = 112 + -112

Combine like terms: 112 + -112 = 0
-40 + 126x + 67x2 + 14x3 + x4 = 0

The solution to this equation could not be determined.

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