a^4+36a^2=0

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Solution for a^4+36a^2=0 equation: 


Simplifying
a4 + 36a2 = 0

Reorder the terms:
36a2 + a4 = 0

Solving
36a2 + a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(36 + 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 '(36 + a2)' equal to zero and attempt to solve:

Simplifying
36 + a2 = 0

Solving
36 + a2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + a2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + a2 = 0 + -36
a2 = 0 + -36

Combine like terms: 0 + -36 = -36
a2 = -36

Simplifying
a2 = -36

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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