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

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


Simplifying
(2x + -4) = 2x5 + -4x4 + 2x2 + -2x + -4

Reorder the terms:
(-4 + 2x) = 2x5 + -4x4 + 2x2 + -2x + -4

Remove parenthesis around (-4 + 2x)
-4 + 2x = 2x5 + -4x4 + 2x2 + -2x + -4

Reorder the terms:
-4 + 2x = -4 + -2x + 2x2 + -4x4 + 2x5

Add '4' to each side of the equation.
-4 + 4 + 2x = -4 + -2x + 2x2 + -4x4 + 4 + 2x5

Combine like terms: -4 + 4 = 0
0 + 2x = -4 + -2x + 2x2 + -4x4 + 4 + 2x5
2x = -4 + -2x + 2x2 + -4x4 + 4 + 2x5

Reorder the terms:
2x = -4 + 4 + -2x + 2x2 + -4x4 + 2x5

Combine like terms: -4 + 4 = 0
2x = 0 + -2x + 2x2 + -4x4 + 2x5
2x = -2x + 2x2 + -4x4 + 2x5

Solving
2x = -2x + 2x2 + -4x4 + 2x5

Solving for variable 'x'.

Combine like terms: 2x + 2x = 4x
4x + -2x2 + 4x4 + -2x5 = -2x + 2x2 + -4x4 + 2x5 + 2x + -2x2 + 4x4 + -2x5

Reorder the terms:
4x + -2x2 + 4x4 + -2x5 = -2x + 2x + 2x2 + -2x2 + -4x4 + 4x4 + 2x5 + -2x5

Combine like terms: -2x + 2x = 0
4x + -2x2 + 4x4 + -2x5 = 0 + 2x2 + -2x2 + -4x4 + 4x4 + 2x5 + -2x5
4x + -2x2 + 4x4 + -2x5 = 2x2 + -2x2 + -4x4 + 4x4 + 2x5 + -2x5

Combine like terms: 2x2 + -2x2 = 0
4x + -2x2 + 4x4 + -2x5 = 0 + -4x4 + 4x4 + 2x5 + -2x5
4x + -2x2 + 4x4 + -2x5 = -4x4 + 4x4 + 2x5 + -2x5

Combine like terms: -4x4 + 4x4 = 0
4x + -2x2 + 4x4 + -2x5 = 0 + 2x5 + -2x5
4x + -2x2 + 4x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
4x + -2x2 + 4x4 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -1x + 2x3 + -1x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(2 + -1x + 2x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
2 + -1x + 2x3 + -1x4 = 0

Solving
2 + -1x + 2x3 + -1x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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