-2a^4+2a^3+128a^2=128a

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Solution for -2a^4+2a^3+128a^2=128a equation: 


Simplifying
-2a4 + 2a3 + 128a2 = 128a

Reorder the terms:
128a2 + 2a3 + -2a4 = 128a

Solving
128a2 + 2a3 + -2a4 = 128a

Solving for variable 'a'.

Reorder the terms:
-128a + 128a2 + 2a3 + -2a4 = 128a + -128a

Combine like terms: 128a + -128a = 0
-128a + 128a2 + 2a3 + -2a4 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-64 + 64a + a2 + -1a3) = 0

Ignore the factor 2.

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 '(-64 + 64a + a2 + -1a3)' equal to zero and attempt to solve:

Simplifying
-64 + 64a + a2 + -1a3 = 0

Solving
-64 + 64a + a2 + -1a3 = 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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