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

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


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

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

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

Multiply (-2 + 3x) * (5 + -3x + x2 + 3x3 + -2x4 + 3x5)
(-2(5 + -3x + x2 + 3x3 + -2x4 + 3x5) + 3x * (5 + -3x + x2 + 3x3 + -2x4 + 3x5)) = 0
((5 * -2 + -3x * -2 + x2 * -2 + 3x3 * -2 + -2x4 * -2 + 3x5 * -2) + 3x * (5 + -3x + x2 + 3x3 + -2x4 + 3x5)) = 0
((-10 + 6x + -2x2 + -6x3 + 4x4 + -6x5) + 3x * (5 + -3x + x2 + 3x3 + -2x4 + 3x5)) = 0
(-10 + 6x + -2x2 + -6x3 + 4x4 + -6x5 + (5 * 3x + -3x * 3x + x2 * 3x + 3x3 * 3x + -2x4 * 3x + 3x5 * 3x)) = 0
(-10 + 6x + -2x2 + -6x3 + 4x4 + -6x5 + (15x + -9x2 + 3x3 + 9x4 + -6x5 + 9x6)) = 0

Reorder the terms:
(-10 + 6x + 15x + -2x2 + -9x2 + -6x3 + 3x3 + 4x4 + 9x4 + -6x5 + -6x5 + 9x6) = 0

Combine like terms: 6x + 15x = 21x
(-10 + 21x + -2x2 + -9x2 + -6x3 + 3x3 + 4x4 + 9x4 + -6x5 + -6x5 + 9x6) = 0

Combine like terms: -2x2 + -9x2 = -11x2
(-10 + 21x + -11x2 + -6x3 + 3x3 + 4x4 + 9x4 + -6x5 + -6x5 + 9x6) = 0

Combine like terms: -6x3 + 3x3 = -3x3
(-10 + 21x + -11x2 + -3x3 + 4x4 + 9x4 + -6x5 + -6x5 + 9x6) = 0

Combine like terms: 4x4 + 9x4 = 13x4
(-10 + 21x + -11x2 + -3x3 + 13x4 + -6x5 + -6x5 + 9x6) = 0

Combine like terms: -6x5 + -6x5 = -12x5
(-10 + 21x + -11x2 + -3x3 + 13x4 + -12x5 + 9x6) = 0

Solving
-10 + 21x + -11x2 + -3x3 + 13x4 + -12x5 + 9x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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