a^4+4a^2=0

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Solution for a^4+4a^2=0 equation: 


Simplifying
a4 + 4a2 = 0

Reorder the terms:
4a2 + a4 = 0

Solving
4a2 + a4 = 0

Solving for variable 'a'.

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

Simplifying
4 + a2 = 0

Solving
4 + a2 = 0

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

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

Combine like terms: 4 + -4 = 0
0 + a2 = 0 + -4
a2 = 0 + -4

Combine like terms: 0 + -4 = -4
a2 = -4

Simplifying
a2 = -4

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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