2x^8+4x^2=x+x

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Solution for 2x^8+4x^2=x+x equation: 


Simplifying
2x8 + 4x2 = x + x

Reorder the terms:
4x2 + 2x8 = x + x

Combine like terms: x + x = 2x
4x2 + 2x8 = 2x

Solving
4x2 + 2x8 = 2x

Solving for variable 'x'.

Reorder the terms:
-2x + 4x2 + 2x8 = 2x + -2x

Combine like terms: 2x + -2x = 0
-2x + 4x2 + 2x8 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 2x + x7) = 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 '(-1 + 2x + x7)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + x7 = 0

Solving
-1 + 2x + x7 = 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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