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

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


Simplifying
a6 + -3a4 = 8a3 + -4a2

Reorder the terms:
-3a4 + a6 = 8a3 + -4a2

Reorder the terms:
-3a4 + a6 = -4a2 + 8a3

Solving
-3a4 + a6 = -4a2 + 8a3

Solving for variable 'a'.

Reorder the terms:
4a2 + -8a3 + -3a4 + a6 = -4a2 + 8a3 + 4a2 + -8a3

Reorder the terms:
4a2 + -8a3 + -3a4 + a6 = -4a2 + 4a2 + 8a3 + -8a3

Combine like terms: -4a2 + 4a2 = 0
4a2 + -8a3 + -3a4 + a6 = 0 + 8a3 + -8a3
4a2 + -8a3 + -3a4 + a6 = 8a3 + -8a3

Combine like terms: 8a3 + -8a3 = 0
4a2 + -8a3 + -3a4 + a6 = 0

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(4 + -8a + -3a2 + a4) = 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 '(4 + -8a + -3a2 + a4)' equal to zero and attempt to solve:

Simplifying
4 + -8a + -3a2 + a4 = 0

Solving
4 + -8a + -3a2 + 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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