0=16x^8+32x^6+24x^4+8x^2+1

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Solution for 0=16x^8+32x^6+24x^4+8x^2+1 equation: 


Simplifying
0 = 16x8 + 32x6 + 24x4 + 8x2 + 1

Reorder the terms:
0 = 1 + 8x2 + 24x4 + 32x6 + 16x8

Solving
0 = 1 + 8x2 + 24x4 + 32x6 + 16x8

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 1 + 8x2 + 24x4 + 32x6 + 16x8 + -1 + -8x2 + -24x4 + -32x6 + -16x8

Reorder the terms:
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 1 + -1 + 8x2 + -8x2 + 24x4 + -24x4 + 32x6 + -32x6 + 16x8 + -16x8

Combine like terms: 1 + -1 = 0
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 0 + 8x2 + -8x2 + 24x4 + -24x4 + 32x6 + -32x6 + 16x8 + -16x8
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 8x2 + -8x2 + 24x4 + -24x4 + 32x6 + -32x6 + 16x8 + -16x8

Combine like terms: 8x2 + -8x2 = 0
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 0 + 24x4 + -24x4 + 32x6 + -32x6 + 16x8 + -16x8
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 24x4 + -24x4 + 32x6 + -32x6 + 16x8 + -16x8

Combine like terms: 24x4 + -24x4 = 0
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 0 + 32x6 + -32x6 + 16x8 + -16x8
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 32x6 + -32x6 + 16x8 + -16x8

Combine like terms: 32x6 + -32x6 = 0
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 0 + 16x8 + -16x8
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 16x8 + -16x8

Combine like terms: 16x8 + -16x8 = 0
-1 + -8x2 + -24x4 + -32x6 + -16x8 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 8x2 + 24x4 + 32x6 + 16x8) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 8x2 + 24x4 + 32x6 + 16x8)' equal to zero and attempt to solve:

Simplifying
1 + 8x2 + 24x4 + 32x6 + 16x8 = 0

Solving
1 + 8x2 + 24x4 + 32x6 + 16x8 = 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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