(2x+4)(2x+8)(x*x+4)=0

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Solution for (2x+4)(2x+8)(x*x+4)=0 equation: 


Simplifying
(2x + 4)(2x + 8)(x * x + 4) = 0

Reorder the terms:
(4 + 2x)(2x + 8)(x * x + 4) = 0

Reorder the terms:
(4 + 2x)(8 + 2x)(x * x + 4) = 0

Multiply x * x
(4 + 2x)(8 + 2x)(x2 + 4) = 0

Reorder the terms:
(4 + 2x)(8 + 2x)(4 + x2) = 0

Multiply (4 + 2x) * (8 + 2x)
(4(8 + 2x) + 2x * (8 + 2x))(4 + x2) = 0
((8 * 4 + 2x * 4) + 2x * (8 + 2x))(4 + x2) = 0
((32 + 8x) + 2x * (8 + 2x))(4 + x2) = 0
(32 + 8x + (8 * 2x + 2x * 2x))(4 + x2) = 0
(32 + 8x + (16x + 4x2))(4 + x2) = 0

Combine like terms: 8x + 16x = 24x
(32 + 24x + 4x2)(4 + x2) = 0

Multiply (32 + 24x + 4x2) * (4 + x2)
(32(4 + x2) + 24x * (4 + x2) + 4x2 * (4 + x2)) = 0
((4 * 32 + x2 * 32) + 24x * (4 + x2) + 4x2 * (4 + x2)) = 0
((128 + 32x2) + 24x * (4 + x2) + 4x2 * (4 + x2)) = 0
(128 + 32x2 + (4 * 24x + x2 * 24x) + 4x2 * (4 + x2)) = 0
(128 + 32x2 + (96x + 24x3) + 4x2 * (4 + x2)) = 0
(128 + 32x2 + 96x + 24x3 + (4 * 4x2 + x2 * 4x2)) = 0
(128 + 32x2 + 96x + 24x3 + (16x2 + 4x4)) = 0

Reorder the terms:
(128 + 96x + 32x2 + 16x2 + 24x3 + 4x4) = 0

Combine like terms: 32x2 + 16x2 = 48x2
(128 + 96x + 48x2 + 24x3 + 4x4) = 0

Solving
128 + 96x + 48x2 + 24x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(32 + 24x + 12x2 + 6x3 + x4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(32 + 24x + 12x2 + 6x3 + x4)' equal to zero and attempt to solve:

Simplifying
32 + 24x + 12x2 + 6x3 + x4 = 0

Solving
32 + 24x + 12x2 + 6x3 + x4 = 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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