(3x-3)(3x^5-4x^4+4x^3+x^2-4x+1)=

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Solution for (3x-3)(3x^5-4x^4+4x^3+x^2-4x+1)= equation: 


Simplifying
(3x + -3)(3x5 + -4x4 + 4x3 + x2 + -4x + 1) = 0

Reorder the terms:
(-3 + 3x)(3x5 + -4x4 + 4x3 + x2 + -4x + 1) = 0

Reorder the terms:
(-3 + 3x)(1 + -4x + x2 + 4x3 + -4x4 + 3x5) = 0

Multiply (-3 + 3x) * (1 + -4x + x2 + 4x3 + -4x4 + 3x5)
(-3(1 + -4x + x2 + 4x3 + -4x4 + 3x5) + 3x * (1 + -4x + x2 + 4x3 + -4x4 + 3x5)) = 0
((1 * -3 + -4x * -3 + x2 * -3 + 4x3 * -3 + -4x4 * -3 + 3x5 * -3) + 3x * (1 + -4x + x2 + 4x3 + -4x4 + 3x5)) = 0
((-3 + 12x + -3x2 + -12x3 + 12x4 + -9x5) + 3x * (1 + -4x + x2 + 4x3 + -4x4 + 3x5)) = 0
(-3 + 12x + -3x2 + -12x3 + 12x4 + -9x5 + (1 * 3x + -4x * 3x + x2 * 3x + 4x3 * 3x + -4x4 * 3x + 3x5 * 3x)) = 0
(-3 + 12x + -3x2 + -12x3 + 12x4 + -9x5 + (3x + -12x2 + 3x3 + 12x4 + -12x5 + 9x6)) = 0

Reorder the terms:
(-3 + 12x + 3x + -3x2 + -12x2 + -12x3 + 3x3 + 12x4 + 12x4 + -9x5 + -12x5 + 9x6) = 0

Combine like terms: 12x + 3x = 15x
(-3 + 15x + -3x2 + -12x2 + -12x3 + 3x3 + 12x4 + 12x4 + -9x5 + -12x5 + 9x6) = 0

Combine like terms: -3x2 + -12x2 = -15x2
(-3 + 15x + -15x2 + -12x3 + 3x3 + 12x4 + 12x4 + -9x5 + -12x5 + 9x6) = 0

Combine like terms: -12x3 + 3x3 = -9x3
(-3 + 15x + -15x2 + -9x3 + 12x4 + 12x4 + -9x5 + -12x5 + 9x6) = 0

Combine like terms: 12x4 + 12x4 = 24x4
(-3 + 15x + -15x2 + -9x3 + 24x4 + -9x5 + -12x5 + 9x6) = 0

Combine like terms: -9x5 + -12x5 = -21x5
(-3 + 15x + -15x2 + -9x3 + 24x4 + -21x5 + 9x6) = 0

Solving
-3 + 15x + -15x2 + -9x3 + 24x4 + -21x5 + 9x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 5x + -5x2 + -3x3 + 8x4 + -7x5 + 3x6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + 5x + -5x2 + -3x3 + 8x4 + -7x5 + 3x6)' equal to zero and attempt to solve:

Simplifying
-1 + 5x + -5x2 + -3x3 + 8x4 + -7x5 + 3x6 = 0

Solving
-1 + 5x + -5x2 + -3x3 + 8x4 + -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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