a^20-a^16+a^12-a^8+a^4-a^2=

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Solution for a^20-a^16+a^12-a^8+a^4-a^2= equation: 


Simplifying
a20 + -1a16 + a12 + -1a8 + a4 + -1a2 = 0

Reorder the terms:
-1a2 + a4 + -1a8 + a12 + -1a16 + a20 = 0

Solving
-1a2 + a4 + -1a8 + a12 + -1a16 + a20 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-1 + a2 + -1a6 + a10 + -1a14 + a18) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(-1 + a2 + -1a6 + a10 + -1a14 + a18)' equal to zero and attempt to solve:

Simplifying
-1 + a2 + -1a6 + a10 + -1a14 + a18 = 0

Solving
-1 + a2 + -1a6 + a10 + -1a14 + a18 = 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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