(x^2+6x+2)(4x^2+8x+8)=0

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Solution for (x^2+6x+2)(4x^2+8x+8)=0 equation: 


Simplifying
(x2 + 6x + 2)(4x2 + 8x + 8) = 0

Reorder the terms:
(2 + 6x + x2)(4x2 + 8x + 8) = 0

Reorder the terms:
(2 + 6x + x2)(8 + 8x + 4x2) = 0

Multiply (2 + 6x + x2) * (8 + 8x + 4x2)
(2(8 + 8x + 4x2) + 6x * (8 + 8x + 4x2) + x2(8 + 8x + 4x2)) = 0
((8 * 2 + 8x * 2 + 4x2 * 2) + 6x * (8 + 8x + 4x2) + x2(8 + 8x + 4x2)) = 0
((16 + 16x + 8x2) + 6x * (8 + 8x + 4x2) + x2(8 + 8x + 4x2)) = 0
(16 + 16x + 8x2 + (8 * 6x + 8x * 6x + 4x2 * 6x) + x2(8 + 8x + 4x2)) = 0
(16 + 16x + 8x2 + (48x + 48x2 + 24x3) + x2(8 + 8x + 4x2)) = 0
(16 + 16x + 8x2 + 48x + 48x2 + 24x3 + (8 * x2 + 8x * x2 + 4x2 * x2)) = 0
(16 + 16x + 8x2 + 48x + 48x2 + 24x3 + (8x2 + 8x3 + 4x4)) = 0

Reorder the terms:
(16 + 16x + 48x + 8x2 + 48x2 + 8x2 + 24x3 + 8x3 + 4x4) = 0

Combine like terms: 16x + 48x = 64x
(16 + 64x + 8x2 + 48x2 + 8x2 + 24x3 + 8x3 + 4x4) = 0

Combine like terms: 8x2 + 48x2 = 56x2
(16 + 64x + 56x2 + 8x2 + 24x3 + 8x3 + 4x4) = 0

Combine like terms: 56x2 + 8x2 = 64x2
(16 + 64x + 64x2 + 24x3 + 8x3 + 4x4) = 0

Combine like terms: 24x3 + 8x3 = 32x3
(16 + 64x + 64x2 + 32x3 + 4x4) = 0

Solving
16 + 64x + 64x2 + 32x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 16x + 16x2 + 8x3 + x4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + 16x + 16x2 + 8x3 + x4)' equal to zero and attempt to solve:

Simplifying
4 + 16x + 16x2 + 8x3 + x4 = 0

Solving
4 + 16x + 16x2 + 8x3 + 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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