(x+2)(x+4)(x+6)(x+8)=105

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Solution for (x+2)(x+4)(x+6)(x+8)=105 equation: 


Simplifying
(x + 2)(x + 4)(x + 6)(x + 8) = 105

Reorder the terms:
(2 + x)(x + 4)(x + 6)(x + 8) = 105

Reorder the terms:
(2 + x)(4 + x)(x + 6)(x + 8) = 105

Reorder the terms:
(2 + x)(4 + x)(6 + x)(x + 8) = 105

Reorder the terms:
(2 + x)(4 + x)(6 + x)(8 + x) = 105

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x))(6 + x)(8 + x) = 105
((4 * 2 + x * 2) + x(4 + x))(6 + x)(8 + x) = 105
((8 + 2x) + x(4 + x))(6 + x)(8 + x) = 105
(8 + 2x + (4 * x + x * x))(6 + x)(8 + x) = 105
(8 + 2x + (4x + x2))(6 + x)(8 + x) = 105

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2)(6 + x)(8 + x) = 105

Multiply (8 + 6x + x2) * (6 + x)
(8(6 + x) + 6x * (6 + x) + x2(6 + x))(8 + x) = 105
((6 * 8 + x * 8) + 6x * (6 + x) + x2(6 + x))(8 + x) = 105
((48 + 8x) + 6x * (6 + x) + x2(6 + x))(8 + x) = 105
(48 + 8x + (6 * 6x + x * 6x) + x2(6 + x))(8 + x) = 105
(48 + 8x + (36x + 6x2) + x2(6 + x))(8 + x) = 105
(48 + 8x + 36x + 6x2 + (6 * x2 + x * x2))(8 + x) = 105
(48 + 8x + 36x + 6x2 + (6x2 + x3))(8 + x) = 105

Combine like terms: 8x + 36x = 44x
(48 + 44x + 6x2 + 6x2 + x3)(8 + x) = 105

Combine like terms: 6x2 + 6x2 = 12x2
(48 + 44x + 12x2 + x3)(8 + x) = 105

Multiply (48 + 44x + 12x2 + x3) * (8 + x)
(48(8 + x) + 44x * (8 + x) + 12x2 * (8 + x) + x3(8 + x)) = 105
((8 * 48 + x * 48) + 44x * (8 + x) + 12x2 * (8 + x) + x3(8 + x)) = 105
((384 + 48x) + 44x * (8 + x) + 12x2 * (8 + x) + x3(8 + x)) = 105
(384 + 48x + (8 * 44x + x * 44x) + 12x2 * (8 + x) + x3(8 + x)) = 105
(384 + 48x + (352x + 44x2) + 12x2 * (8 + x) + x3(8 + x)) = 105
(384 + 48x + 352x + 44x2 + (8 * 12x2 + x * 12x2) + x3(8 + x)) = 105
(384 + 48x + 352x + 44x2 + (96x2 + 12x3) + x3(8 + x)) = 105
(384 + 48x + 352x + 44x2 + 96x2 + 12x3 + (8 * x3 + x * x3)) = 105
(384 + 48x + 352x + 44x2 + 96x2 + 12x3 + (8x3 + x4)) = 105

Combine like terms: 48x + 352x = 400x
(384 + 400x + 44x2 + 96x2 + 12x3 + 8x3 + x4) = 105

Combine like terms: 44x2 + 96x2 = 140x2
(384 + 400x + 140x2 + 12x3 + 8x3 + x4) = 105

Combine like terms: 12x3 + 8x3 = 20x3
(384 + 400x + 140x2 + 20x3 + x4) = 105

Solving
384 + 400x + 140x2 + 20x3 + x4 = 105

Solving for variable 'x'.

Reorder the terms:
384 + -105 + 400x + 140x2 + 20x3 + x4 = 105 + -105

Combine like terms: 384 + -105 = 279
279 + 400x + 140x2 + 20x3 + x4 = 105 + -105

Combine like terms: 105 + -105 = 0
279 + 400x + 140x2 + 20x3 + x4 = 0

The solution to this equation could not be determined.

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