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

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


Simplifying
(2x + -2)(3x5 + -5x4 + 2x3 + x2 + -2x + 2) = 0

Reorder the terms:
(-2 + 2x)(3x5 + -5x4 + 2x3 + x2 + -2x + 2) = 0

Reorder the terms:
(-2 + 2x)(2 + -2x + x2 + 2x3 + -5x4 + 3x5) = 0

Multiply (-2 + 2x) * (2 + -2x + x2 + 2x3 + -5x4 + 3x5)
(-2(2 + -2x + x2 + 2x3 + -5x4 + 3x5) + 2x * (2 + -2x + x2 + 2x3 + -5x4 + 3x5)) = 0
((2 * -2 + -2x * -2 + x2 * -2 + 2x3 * -2 + -5x4 * -2 + 3x5 * -2) + 2x * (2 + -2x + x2 + 2x3 + -5x4 + 3x5)) = 0
((-4 + 4x + -2x2 + -4x3 + 10x4 + -6x5) + 2x * (2 + -2x + x2 + 2x3 + -5x4 + 3x5)) = 0
(-4 + 4x + -2x2 + -4x3 + 10x4 + -6x5 + (2 * 2x + -2x * 2x + x2 * 2x + 2x3 * 2x + -5x4 * 2x + 3x5 * 2x)) = 0
(-4 + 4x + -2x2 + -4x3 + 10x4 + -6x5 + (4x + -4x2 + 2x3 + 4x4 + -10x5 + 6x6)) = 0

Reorder the terms:
(-4 + 4x + 4x + -2x2 + -4x2 + -4x3 + 2x3 + 10x4 + 4x4 + -6x5 + -10x5 + 6x6) = 0

Combine like terms: 4x + 4x = 8x
(-4 + 8x + -2x2 + -4x2 + -4x3 + 2x3 + 10x4 + 4x4 + -6x5 + -10x5 + 6x6) = 0

Combine like terms: -2x2 + -4x2 = -6x2
(-4 + 8x + -6x2 + -4x3 + 2x3 + 10x4 + 4x4 + -6x5 + -10x5 + 6x6) = 0

Combine like terms: -4x3 + 2x3 = -2x3
(-4 + 8x + -6x2 + -2x3 + 10x4 + 4x4 + -6x5 + -10x5 + 6x6) = 0

Combine like terms: 10x4 + 4x4 = 14x4
(-4 + 8x + -6x2 + -2x3 + 14x4 + -6x5 + -10x5 + 6x6) = 0

Combine like terms: -6x5 + -10x5 = -16x5
(-4 + 8x + -6x2 + -2x3 + 14x4 + -16x5 + 6x6) = 0

Solving
-4 + 8x + -6x2 + -2x3 + 14x4 + -16x5 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 4x + -3x2 + -1x3 + 7x4 + -8x5 + 3x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 4x + -3x2 + -1x3 + 7x4 + -8x5 + 3x6)' equal to zero and attempt to solve:

Simplifying
-2 + 4x + -3x2 + -1x3 + 7x4 + -8x5 + 3x6 = 0

Solving
-2 + 4x + -3x2 + -1x3 + 7x4 + -8x5 + 3x6 = 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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