36x^4+5b^4x^2-b^8=0

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Solution for 36x^4+5b^4x^2-b^8=0 equation: 


Simplifying
36x4 + 5b4x2 + -1b8 = 0

Reorder the terms:
5b4x2 + -1b8 + 36x4 = 0

Solving
5b4x2 + -1b8 + 36x4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1b4 + -4x2)(b4 + -9x2) = 0

Factor a difference between two squares.
(-1b4 + -4x2)((b2 + 3x)(b2 + -3x)) = 0


Subproblem 1
Set the factor '(-1b4 + -4x2)' equal to zero and attempt to solve:

Simplifying
-1b4 + -4x2 = 0

Solving
-1b4 + -4x2 = 0

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

Add '4x2' to each side of the equation.
-1b4 + -4x2 + 4x2 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-1b4 + 0 = 0 + 4x2
-1b4 = 0 + 4x2
Remove the zero:
-1b4 = 4x2

Divide each side by '-1'.
b4 = -4x2

Simplifying
b4 = -4x2

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 '(b2 + 3x)' equal to zero and attempt to solve:

Simplifying
b2 + 3x = 0

Solving
b2 + 3x = 0

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

Add '-3x' to each side of the equation.
b2 + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
b2 + 0 = 0 + -3x
b2 = 0 + -3x
Remove the zero:
b2 = -3x

Simplifying
b2 = -3x

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 '(b2 + -3x)' equal to zero and attempt to solve:

Simplifying
b2 + -3x = 0

Solving
b2 + -3x = 0

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

Add '3x' to each side of the equation.
b2 + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
b2 + 0 = 0 + 3x
b2 = 0 + 3x
Remove the zero:
b2 = 3x

Simplifying
b2 = 3x

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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