a^5+2a^3-2a^4-2a^2+a=0

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Solution for a^5+2a^3-2a^4-2a^2+a=0 equation: 


Simplifying
a5 + 2a3 + -2a4 + -2a2 + a = 0

Reorder the terms:
a + -2a2 + 2a3 + -2a4 + a5 = 0

Solving
a + -2a2 + 2a3 + -2a4 + a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -2a + 2a2 + -2a3 + a4) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(1 + -2a + 2a2 + -2a3 + a4)' equal to zero and attempt to solve:

Simplifying
1 + -2a + 2a2 + -2a3 + a4 = 0

Solving
1 + -2a + 2a2 + -2a3 + a4 = 0

The solution to this equation could not be determined.

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

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