(2x+1)(2x+3)(2x+5)(2x+7)=9

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Solution for (2x+1)(2x+3)(2x+5)(2x+7)=9 equation: 


Simplifying
(2x + 1)(2x + 3)(2x + 5)(2x + 7) = 9

Reorder the terms:
(1 + 2x)(2x + 3)(2x + 5)(2x + 7) = 9

Reorder the terms:
(1 + 2x)(3 + 2x)(2x + 5)(2x + 7) = 9

Reorder the terms:
(1 + 2x)(3 + 2x)(5 + 2x)(2x + 7) = 9

Reorder the terms:
(1 + 2x)(3 + 2x)(5 + 2x)(7 + 2x) = 9

Multiply (1 + 2x) * (3 + 2x)
(1(3 + 2x) + 2x * (3 + 2x))(5 + 2x)(7 + 2x) = 9
((3 * 1 + 2x * 1) + 2x * (3 + 2x))(5 + 2x)(7 + 2x) = 9
((3 + 2x) + 2x * (3 + 2x))(5 + 2x)(7 + 2x) = 9
(3 + 2x + (3 * 2x + 2x * 2x))(5 + 2x)(7 + 2x) = 9
(3 + 2x + (6x + 4x2))(5 + 2x)(7 + 2x) = 9

Combine like terms: 2x + 6x = 8x
(3 + 8x + 4x2)(5 + 2x)(7 + 2x) = 9

Multiply (3 + 8x + 4x2) * (5 + 2x)
(3(5 + 2x) + 8x * (5 + 2x) + 4x2 * (5 + 2x))(7 + 2x) = 9
((5 * 3 + 2x * 3) + 8x * (5 + 2x) + 4x2 * (5 + 2x))(7 + 2x) = 9
((15 + 6x) + 8x * (5 + 2x) + 4x2 * (5 + 2x))(7 + 2x) = 9
(15 + 6x + (5 * 8x + 2x * 8x) + 4x2 * (5 + 2x))(7 + 2x) = 9
(15 + 6x + (40x + 16x2) + 4x2 * (5 + 2x))(7 + 2x) = 9
(15 + 6x + 40x + 16x2 + (5 * 4x2 + 2x * 4x2))(7 + 2x) = 9
(15 + 6x + 40x + 16x2 + (20x2 + 8x3))(7 + 2x) = 9

Combine like terms: 6x + 40x = 46x
(15 + 46x + 16x2 + 20x2 + 8x3)(7 + 2x) = 9

Combine like terms: 16x2 + 20x2 = 36x2
(15 + 46x + 36x2 + 8x3)(7 + 2x) = 9

Multiply (15 + 46x + 36x2 + 8x3) * (7 + 2x)
(15(7 + 2x) + 46x * (7 + 2x) + 36x2 * (7 + 2x) + 8x3 * (7 + 2x)) = 9
((7 * 15 + 2x * 15) + 46x * (7 + 2x) + 36x2 * (7 + 2x) + 8x3 * (7 + 2x)) = 9
((105 + 30x) + 46x * (7 + 2x) + 36x2 * (7 + 2x) + 8x3 * (7 + 2x)) = 9
(105 + 30x + (7 * 46x + 2x * 46x) + 36x2 * (7 + 2x) + 8x3 * (7 + 2x)) = 9
(105 + 30x + (322x + 92x2) + 36x2 * (7 + 2x) + 8x3 * (7 + 2x)) = 9
(105 + 30x + 322x + 92x2 + (7 * 36x2 + 2x * 36x2) + 8x3 * (7 + 2x)) = 9
(105 + 30x + 322x + 92x2 + (252x2 + 72x3) + 8x3 * (7 + 2x)) = 9
(105 + 30x + 322x + 92x2 + 252x2 + 72x3 + (7 * 8x3 + 2x * 8x3)) = 9
(105 + 30x + 322x + 92x2 + 252x2 + 72x3 + (56x3 + 16x4)) = 9

Combine like terms: 30x + 322x = 352x
(105 + 352x + 92x2 + 252x2 + 72x3 + 56x3 + 16x4) = 9

Combine like terms: 92x2 + 252x2 = 344x2
(105 + 352x + 344x2 + 72x3 + 56x3 + 16x4) = 9

Combine like terms: 72x3 + 56x3 = 128x3
(105 + 352x + 344x2 + 128x3 + 16x4) = 9

Solving
105 + 352x + 344x2 + 128x3 + 16x4 = 9

Solving for variable 'x'.

Reorder the terms:
105 + -9 + 352x + 344x2 + 128x3 + 16x4 = 9 + -9

Combine like terms: 105 + -9 = 96
96 + 352x + 344x2 + 128x3 + 16x4 = 9 + -9

Combine like terms: 9 + -9 = 0
96 + 352x + 344x2 + 128x3 + 16x4 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(12 + 44x + 43x2 + 16x3 + 2x4) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(12 + 44x + 43x2 + 16x3 + 2x4)' equal to zero and attempt to solve:

Simplifying
12 + 44x + 43x2 + 16x3 + 2x4 = 0

Solving
12 + 44x + 43x2 + 16x3 + 2x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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