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

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


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

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

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

Multiply (-3 + 3x) * (4 + -5x + x2 + 4x3 + -2x4 + 2x5)
(-3(4 + -5x + x2 + 4x3 + -2x4 + 2x5) + 3x * (4 + -5x + x2 + 4x3 + -2x4 + 2x5)) = 0
((4 * -3 + -5x * -3 + x2 * -3 + 4x3 * -3 + -2x4 * -3 + 2x5 * -3) + 3x * (4 + -5x + x2 + 4x3 + -2x4 + 2x5)) = 0
((-12 + 15x + -3x2 + -12x3 + 6x4 + -6x5) + 3x * (4 + -5x + x2 + 4x3 + -2x4 + 2x5)) = 0
(-12 + 15x + -3x2 + -12x3 + 6x4 + -6x5 + (4 * 3x + -5x * 3x + x2 * 3x + 4x3 * 3x + -2x4 * 3x + 2x5 * 3x)) = 0
(-12 + 15x + -3x2 + -12x3 + 6x4 + -6x5 + (12x + -15x2 + 3x3 + 12x4 + -6x5 + 6x6)) = 0

Reorder the terms:
(-12 + 15x + 12x + -3x2 + -15x2 + -12x3 + 3x3 + 6x4 + 12x4 + -6x5 + -6x5 + 6x6) = 0

Combine like terms: 15x + 12x = 27x
(-12 + 27x + -3x2 + -15x2 + -12x3 + 3x3 + 6x4 + 12x4 + -6x5 + -6x5 + 6x6) = 0

Combine like terms: -3x2 + -15x2 = -18x2
(-12 + 27x + -18x2 + -12x3 + 3x3 + 6x4 + 12x4 + -6x5 + -6x5 + 6x6) = 0

Combine like terms: -12x3 + 3x3 = -9x3
(-12 + 27x + -18x2 + -9x3 + 6x4 + 12x4 + -6x5 + -6x5 + 6x6) = 0

Combine like terms: 6x4 + 12x4 = 18x4
(-12 + 27x + -18x2 + -9x3 + 18x4 + -6x5 + -6x5 + 6x6) = 0

Combine like terms: -6x5 + -6x5 = -12x5
(-12 + 27x + -18x2 + -9x3 + 18x4 + -12x5 + 6x6) = 0

Solving
-12 + 27x + -18x2 + -9x3 + 18x4 + -12x5 + 6x6 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + 9x + -6x2 + -3x3 + 6x4 + -4x5 + 2x6)' equal to zero and attempt to solve:

Simplifying
-4 + 9x + -6x2 + -3x3 + 6x4 + -4x5 + 2x6 = 0

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