2x^6-4x^5-8x^4+24x^3-8x^2-32x+32=0

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Solution for 2x^6-4x^5-8x^4+24x^3-8x^2-32x+32=0 equation: 


Simplifying
2x6 + -4x5 + -8x4 + 24x3 + -8x2 + -32x + 32 = 0

Reorder the terms:
32 + -32x + -8x2 + 24x3 + -8x4 + -4x5 + 2x6 = 0

Solving
32 + -32x + -8x2 + 24x3 + -8x4 + -4x5 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -16x + -4x2 + 12x3 + -4x4 + -2x5 + x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(16 + -16x + -4x2 + 12x3 + -4x4 + -2x5 + x6)' equal to zero and attempt to solve:

Simplifying
16 + -16x + -4x2 + 12x3 + -4x4 + -2x5 + x6 = 0

Solving
16 + -16x + -4x2 + 12x3 + -4x4 + -2x5 + x6 = 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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