2a^4b=8a^2b^2-2a^2b^4

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Solution for 2a^4b=8a^2b^2-2a^2b^4 equation: 


Simplifying
2a4b = 8a2b2 + -2a2b4

Solving
2a4b = 8a2b2 + -2a2b4

Solving for variable 'a'.

Reorder the terms:
-8a2b2 + 2a2b4 + 2a4b = 8a2b2 + -2a2b4 + -8a2b2 + 2a2b4

Reorder the terms:
-8a2b2 + 2a2b4 + 2a4b = 8a2b2 + -8a2b2 + -2a2b4 + 2a2b4

Combine like terms: 8a2b2 + -8a2b2 = 0
-8a2b2 + 2a2b4 + 2a4b = 0 + -2a2b4 + 2a2b4
-8a2b2 + 2a2b4 + 2a4b = -2a2b4 + 2a2b4

Combine like terms: -2a2b4 + 2a2b4 = 0
-8a2b2 + 2a2b4 + 2a4b = 0

Factor out the Greatest Common Factor (GCF), '2a2b'.
2a2b(-4b + b3 + a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve:

Simplifying
a2b = 0

Solving
a2b = 0

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

Simplifying
a2b = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4b + b3 + a2)' equal to zero and attempt to solve:

Simplifying
-4b + b3 + a2 = 0

Reorder the terms:
a2 + -4b + b3 = 0

Solving
a2 + -4b + b3 = 0

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

Add '4b' to each side of the equation.
a2 + -4b + 4b + b3 = 0 + 4b

Combine like terms: -4b + 4b = 0
a2 + 0 + b3 = 0 + 4b
a2 + b3 = 0 + 4b
Remove the zero:
a2 + b3 = 4b

Add '-1b3' to each side of the equation.
a2 + b3 + -1b3 = 4b + -1b3

Combine like terms: b3 + -1b3 = 0
a2 + 0 = 4b + -1b3
a2 = 4b + -1b3

Simplifying
a2 = 4b + -1b3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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