A^4-81b^4=0

Solution for A^4-81b^4=0 equation:

Simplifying
A4 + -81b4 = 0

Solving
A4 + -81b4 = 0

Solving for variable 'A'.

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

Add '81b4' to each side of the equation.
A4 + -81b4 + 81b4 = 0 + 81b4

Combine like terms: -81b4 + 81b4 = 0
A4 + 0 = 0 + 81b4
A4 = 0 + 81b4
Remove the zero:
A4 = 81b4

Simplifying
A4 = 81b4

Combine like terms: 81b4 + -81b4 = 0
A4 + -81b4 = 0

Factor a difference between two squares.
(A2 + 9b2)(A2 + -9b2) = 0

Factor a difference between two squares.
(A2 + 9b2)((A + 3b)(A + -3b)) = 0

Subproblem 1
Set the factor '(A2 + 9b2)' equal to zero and attempt to solve:

Simplifying
A2 + 9b2 = 0

Solving
A2 + 9b2 = 0

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

Add '-9b2' to each side of the equation.
A2 + 9b2 + -9b2 = 0 + -9b2

Combine like terms: 9b2 + -9b2 = 0
A2 + 0 = 0 + -9b2
A2 = 0 + -9b2
Remove the zero:
A2 = -9b2

Simplifying
A2 = -9b2

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 '(A + 3b)' equal to zero and attempt to solve:

Simplifying
A + 3b = 0

Solving
A + 3b = 0

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

Add '-3b' to each side of the equation.
A + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
A + 0 = 0 + -3b
A = 0 + -3b
Remove the zero:
A = -3b

Simplifying
A = -3b
Subproblem 3
Set the factor '(A + -3b)' equal to zero and attempt to solve:

Simplifying
A + -3b = 0

Solving
A + -3b = 0

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

Add '3b' to each side of the equation.
A + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
A + 0 = 0 + 3b
A = 0 + 3b
Remove the zero:
A = 3b

Simplifying
A = 3b
Solution
A = {-3b, 3b}