(2x-2)(2x^5-4x^4+2x^3+x^2-2x+4)=

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Solution for (2x-2)(2x^5-4x^4+2x^3+x^2-2x+4)= equation: 


Simplifying
(2x + -2)(2x5 + -4x4 + 2x3 + x2 + -2x + 4) = 0

Reorder the terms:
(-2 + 2x)(2x5 + -4x4 + 2x3 + x2 + -2x + 4) = 0

Reorder the terms:
(-2 + 2x)(4 + -2x + x2 + 2x3 + -4x4 + 2x5) = 0

Multiply (-2 + 2x) * (4 + -2x + x2 + 2x3 + -4x4 + 2x5)
(-2(4 + -2x + x2 + 2x3 + -4x4 + 2x5) + 2x * (4 + -2x + x2 + 2x3 + -4x4 + 2x5)) = 0
((4 * -2 + -2x * -2 + x2 * -2 + 2x3 * -2 + -4x4 * -2 + 2x5 * -2) + 2x * (4 + -2x + x2 + 2x3 + -4x4 + 2x5)) = 0
((-8 + 4x + -2x2 + -4x3 + 8x4 + -4x5) + 2x * (4 + -2x + x2 + 2x3 + -4x4 + 2x5)) = 0
(-8 + 4x + -2x2 + -4x3 + 8x4 + -4x5 + (4 * 2x + -2x * 2x + x2 * 2x + 2x3 * 2x + -4x4 * 2x + 2x5 * 2x)) = 0
(-8 + 4x + -2x2 + -4x3 + 8x4 + -4x5 + (8x + -4x2 + 2x3 + 4x4 + -8x5 + 4x6)) = 0

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

Combine like terms: 4x + 8x = 12x
(-8 + 12x + -2x2 + -4x2 + -4x3 + 2x3 + 8x4 + 4x4 + -4x5 + -8x5 + 4x6) = 0

Combine like terms: -2x2 + -4x2 = -6x2
(-8 + 12x + -6x2 + -4x3 + 2x3 + 8x4 + 4x4 + -4x5 + -8x5 + 4x6) = 0

Combine like terms: -4x3 + 2x3 = -2x3
(-8 + 12x + -6x2 + -2x3 + 8x4 + 4x4 + -4x5 + -8x5 + 4x6) = 0

Combine like terms: 8x4 + 4x4 = 12x4
(-8 + 12x + -6x2 + -2x3 + 12x4 + -4x5 + -8x5 + 4x6) = 0

Combine like terms: -4x5 + -8x5 = -12x5
(-8 + 12x + -6x2 + -2x3 + 12x4 + -12x5 + 4x6) = 0

Solving
-8 + 12x + -6x2 + -2x3 + 12x4 + -12x5 + 4x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 6x + -3x2 + -1x3 + 6x4 + -6x5 + 2x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 6x + -3x2 + -1x3 + 6x4 + -6x5 + 2x6)' equal to zero and attempt to solve:

Simplifying
-4 + 6x + -3x2 + -1x3 + 6x4 + -6x5 + 2x6 = 0

Solving
-4 + 6x + -3x2 + -1x3 + 6x4 + -6x5 + 2x6 = 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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