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

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


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

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

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

Multiply (-3 + 3x) * (5 + -4x + x2 + 2x3 + -5x4 + 3x5)
(-3(5 + -4x + x2 + 2x3 + -5x4 + 3x5) + 3x * (5 + -4x + x2 + 2x3 + -5x4 + 3x5)) = 0
((5 * -3 + -4x * -3 + x2 * -3 + 2x3 * -3 + -5x4 * -3 + 3x5 * -3) + 3x * (5 + -4x + x2 + 2x3 + -5x4 + 3x5)) = 0
((-15 + 12x + -3x2 + -6x3 + 15x4 + -9x5) + 3x * (5 + -4x + x2 + 2x3 + -5x4 + 3x5)) = 0
(-15 + 12x + -3x2 + -6x3 + 15x4 + -9x5 + (5 * 3x + -4x * 3x + x2 * 3x + 2x3 * 3x + -5x4 * 3x + 3x5 * 3x)) = 0
(-15 + 12x + -3x2 + -6x3 + 15x4 + -9x5 + (15x + -12x2 + 3x3 + 6x4 + -15x5 + 9x6)) = 0

Reorder the terms:
(-15 + 12x + 15x + -3x2 + -12x2 + -6x3 + 3x3 + 15x4 + 6x4 + -9x5 + -15x5 + 9x6) = 0

Combine like terms: 12x + 15x = 27x
(-15 + 27x + -3x2 + -12x2 + -6x3 + 3x3 + 15x4 + 6x4 + -9x5 + -15x5 + 9x6) = 0

Combine like terms: -3x2 + -12x2 = -15x2
(-15 + 27x + -15x2 + -6x3 + 3x3 + 15x4 + 6x4 + -9x5 + -15x5 + 9x6) = 0

Combine like terms: -6x3 + 3x3 = -3x3
(-15 + 27x + -15x2 + -3x3 + 15x4 + 6x4 + -9x5 + -15x5 + 9x6) = 0

Combine like terms: 15x4 + 6x4 = 21x4
(-15 + 27x + -15x2 + -3x3 + 21x4 + -9x5 + -15x5 + 9x6) = 0

Combine like terms: -9x5 + -15x5 = -24x5
(-15 + 27x + -15x2 + -3x3 + 21x4 + -24x5 + 9x6) = 0

Solving
-15 + 27x + -15x2 + -3x3 + 21x4 + -24x5 + 9x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 9x + -5x2 + -1x3 + 7x4 + -8x5 + 3x6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 9x + -5x2 + -1x3 + 7x4 + -8x5 + 3x6)' equal to zero and attempt to solve:

Simplifying
-5 + 9x + -5x2 + -1x3 + 7x4 + -8x5 + 3x6 = 0

Solving
-5 + 9x + -5x2 + -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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