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

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


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

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

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

Multiply (-4 + 2x) * (3 + -2x + x2 + 5x3 + -3x4 + 2x5)
(-4(3 + -2x + x2 + 5x3 + -3x4 + 2x5) + 2x * (3 + -2x + x2 + 5x3 + -3x4 + 2x5)) = 0
((3 * -4 + -2x * -4 + x2 * -4 + 5x3 * -4 + -3x4 * -4 + 2x5 * -4) + 2x * (3 + -2x + x2 + 5x3 + -3x4 + 2x5)) = 0
((-12 + 8x + -4x2 + -20x3 + 12x4 + -8x5) + 2x * (3 + -2x + x2 + 5x3 + -3x4 + 2x5)) = 0
(-12 + 8x + -4x2 + -20x3 + 12x4 + -8x5 + (3 * 2x + -2x * 2x + x2 * 2x + 5x3 * 2x + -3x4 * 2x + 2x5 * 2x)) = 0
(-12 + 8x + -4x2 + -20x3 + 12x4 + -8x5 + (6x + -4x2 + 2x3 + 10x4 + -6x5 + 4x6)) = 0

Reorder the terms:
(-12 + 8x + 6x + -4x2 + -4x2 + -20x3 + 2x3 + 12x4 + 10x4 + -8x5 + -6x5 + 4x6) = 0

Combine like terms: 8x + 6x = 14x
(-12 + 14x + -4x2 + -4x2 + -20x3 + 2x3 + 12x4 + 10x4 + -8x5 + -6x5 + 4x6) = 0

Combine like terms: -4x2 + -4x2 = -8x2
(-12 + 14x + -8x2 + -20x3 + 2x3 + 12x4 + 10x4 + -8x5 + -6x5 + 4x6) = 0

Combine like terms: -20x3 + 2x3 = -18x3
(-12 + 14x + -8x2 + -18x3 + 12x4 + 10x4 + -8x5 + -6x5 + 4x6) = 0

Combine like terms: 12x4 + 10x4 = 22x4
(-12 + 14x + -8x2 + -18x3 + 22x4 + -8x5 + -6x5 + 4x6) = 0

Combine like terms: -8x5 + -6x5 = -14x5
(-12 + 14x + -8x2 + -18x3 + 22x4 + -14x5 + 4x6) = 0

Solving
-12 + 14x + -8x2 + -18x3 + 22x4 + -14x5 + 4x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 7x + -4x2 + -9x3 + 11x4 + -7x5 + 2x6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + 7x + -4x2 + -9x3 + 11x4 + -7x5 + 2x6)' equal to zero and attempt to solve: Simplifying -6 + 7x + -4x2 + -9x3 + 11x4 + -7x5 + 2x6 = 0 Solving -6 + 7x + -4x2 + -9x3 + 11x4 + -7x5 + 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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