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

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


Simplifying
(2x + -2)(3x5 + -4x4 + 5x3 + x2 + -5x + 3) = 0

Reorder the terms:
(-2 + 2x)(3x5 + -4x4 + 5x3 + x2 + -5x + 3) = 0

Reorder the terms:
(-2 + 2x)(3 + -5x + x2 + 5x3 + -4x4 + 3x5) = 0

Multiply (-2 + 2x) * (3 + -5x + x2 + 5x3 + -4x4 + 3x5)
(-2(3 + -5x + x2 + 5x3 + -4x4 + 3x5) + 2x * (3 + -5x + x2 + 5x3 + -4x4 + 3x5)) = 0
((3 * -2 + -5x * -2 + x2 * -2 + 5x3 * -2 + -4x4 * -2 + 3x5 * -2) + 2x * (3 + -5x + x2 + 5x3 + -4x4 + 3x5)) = 0
((-6 + 10x + -2x2 + -10x3 + 8x4 + -6x5) + 2x * (3 + -5x + x2 + 5x3 + -4x4 + 3x5)) = 0
(-6 + 10x + -2x2 + -10x3 + 8x4 + -6x5 + (3 * 2x + -5x * 2x + x2 * 2x + 5x3 * 2x + -4x4 * 2x + 3x5 * 2x)) = 0
(-6 + 10x + -2x2 + -10x3 + 8x4 + -6x5 + (6x + -10x2 + 2x3 + 10x4 + -8x5 + 6x6)) = 0

Reorder the terms:
(-6 + 10x + 6x + -2x2 + -10x2 + -10x3 + 2x3 + 8x4 + 10x4 + -6x5 + -8x5 + 6x6) = 0

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

Combine like terms: -2x2 + -10x2 = -12x2
(-6 + 16x + -12x2 + -10x3 + 2x3 + 8x4 + 10x4 + -6x5 + -8x5 + 6x6) = 0

Combine like terms: -10x3 + 2x3 = -8x3
(-6 + 16x + -12x2 + -8x3 + 8x4 + 10x4 + -6x5 + -8x5 + 6x6) = 0

Combine like terms: 8x4 + 10x4 = 18x4
(-6 + 16x + -12x2 + -8x3 + 18x4 + -6x5 + -8x5 + 6x6) = 0

Combine like terms: -6x5 + -8x5 = -14x5
(-6 + 16x + -12x2 + -8x3 + 18x4 + -14x5 + 6x6) = 0

Solving
-6 + 16x + -12x2 + -8x3 + 18x4 + -14x5 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 8x + -6x2 + -4x3 + 9x4 + -7x5 + 3x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 8x + -6x2 + -4x3 + 9x4 + -7x5 + 3x6)' equal to zero and attempt to solve:

Simplifying
-3 + 8x + -6x2 + -4x3 + 9x4 + -7x5 + 3x6 = 0

Solving
-3 + 8x + -6x2 + -4x3 + 9x4 + -7x5 + 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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