a^6-3a^6+8a^3-4a^2=0

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Solution for a^6-3a^6+8a^3-4a^2=0 equation: 


Simplifying
a6 + -3a6 + 8a3 + -4a2 = 0

Reorder the terms:
-4a2 + 8a3 + a6 + -3a6 = 0

Combine like terms: a6 + -3a6 = -2a6
-4a2 + 8a3 + -2a6 = 0

Solving
-4a2 + 8a3 + -2a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-2 + 4a + -1a4) = 0

Ignore the factor 2.

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 '(-2 + 4a + -1a4)' equal to zero and attempt to solve:

Simplifying
-2 + 4a + -1a4 = 0

Solving
-2 + 4a + -1a4 = 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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