6a^3-2a=a^6

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Solution for 6a^3-2a=a^6 equation: 


Simplifying
6a3 + -2a = a6

Reorder the terms:
-2a + 6a3 = a6

Solving
-2a + 6a3 = a6

Solving for variable 'a'.

Combine like terms: a6 + -1a6 = 0
-2a + 6a3 + -1a6 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2 + 6a2 + -1a5) = 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 '(-2 + 6a2 + -1a5)' equal to zero and attempt to solve:

Simplifying
-2 + 6a2 + -1a5 = 0

Solving
-2 + 6a2 + -1a5 = 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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