x^4-13a^4x^2+36a^8=0

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Solution for x^4-13a^4x^2+36a^8=0 equation: 


Simplifying
x4 + -13a4x2 + 36a8 = 0

Reorder the terms:
-13a4x2 + 36a8 + x4 = 0

Solving
-13a4x2 + 36a8 + x4 = 0

Solving for variable 'a'.

Factor a trinomial.
(4a4 + -1x2)(9a4 + -1x2) = 0

Factor a difference between two squares.
((2a2 + x)(2a2 + -1x))(9a4 + -1x2) = 0

Factor a difference between two squares.
((3a2 + x)(3a2 + -1x))(2a2 + x)(2a2 + -1x) = 0


Subproblem 1
Set the factor '(2a2 + x)' equal to zero and attempt to solve:

Simplifying
2a2 + x = 0

Solving
2a2 + x = 0

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

Add '-1x' to each side of the equation.
2a2 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
2a2 + 0 = 0 + -1x
2a2 = 0 + -1x
Remove the zero:
2a2 = -1x

Divide each side by '2'.
a2 = -0.5x

Simplifying
a2 = -0.5x

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 '(2a2 + -1x)' equal to zero and attempt to solve:

Simplifying
2a2 + -1x = 0

Solving
2a2 + -1x = 0

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

Add 'x' to each side of the equation.
2a2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2a2 + 0 = 0 + x
2a2 = 0 + x
Remove the zero:
2a2 = x

Divide each side by '2'.
a2 = 0.5x

Simplifying
a2 = 0.5x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(3a2 + x)' equal to zero and attempt to solve:

Simplifying
3a2 + x = 0

Solving
3a2 + x = 0

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

Add '-1x' to each side of the equation.
3a2 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
3a2 + 0 = 0 + -1x
3a2 = 0 + -1x
Remove the zero:
3a2 = -1x

Divide each side by '3'.
a2 = -0.3333333333x

Simplifying
a2 = -0.3333333333x

The solution to this equation could not be determined.

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

Subproblem 4
Set the factor '(3a2 + -1x)' equal to zero and attempt to solve:

Simplifying
3a2 + -1x = 0

Solving
3a2 + -1x = 0

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

Add 'x' to each side of the equation.
3a2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3a2 + 0 = 0 + x
3a2 = 0 + x
Remove the zero:
3a2 = x

Divide each side by '3'.
a2 = 0.3333333333x

Simplifying
a2 = 0.3333333333x

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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