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

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


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

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

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

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

Reorder the terms:
(-8 + 6x + 8x + -2x2 + -6x2 + -6x3 + 2x3 + 6x4 + 6x4 + -4x5 + -6x5 + 4x6) = 0

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

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

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

Combine like terms: 6x4 + 6x4 = 12x4
(-8 + 14x + -8x2 + -4x3 + 12x4 + -4x5 + -6x5 + 4x6) = 0

Combine like terms: -4x5 + -6x5 = -10x5
(-8 + 14x + -8x2 + -4x3 + 12x4 + -10x5 + 4x6) = 0

Solving
-8 + 14x + -8x2 + -4x3 + 12x4 + -10x5 + 4x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 7x + -4x2 + -2x3 + 6x4 + -5x5 + 2x6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + 7x + -4x2 + -2x3 + 6x4 + -5x5 + 2x6)' equal to zero and attempt to solve: Simplifying -4 + 7x + -4x2 + -2x3 + 6x4 + -5x5 + 2x6 = 0 Solving -4 + 7x + -4x2 + -2x3 + 6x4 + -5x5 + 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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