a^4-81b^2=

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Solution for a^4-81b^2= equation: 


Simplifying
a4 + -81b2 = 0

Solving
a4 + -81b2 = 0

Solving for variable 'a'.

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

Add '81b2' to each side of the equation.
a4 + -81b2 + 81b2 = 0 + 81b2

Combine like terms: -81b2 + 81b2 = 0
a4 + 0 = 0 + 81b2
a4 = 0 + 81b2
Remove the zero:
a4 = 81b2

Simplifying
a4 = 81b2

Combine like terms: 81b2 + -81b2 = 0
a4 + -81b2 = 0

Factor a difference between two squares.
(a2 + 9b)(a2 + -9b) = 0


Subproblem 1
Set the factor '(a2 + 9b)' equal to zero and attempt to solve:

Simplifying
a2 + 9b = 0

Solving
a2 + 9b = 0

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

Add '-9b' to each side of the equation.
a2 + 9b + -9b = 0 + -9b

Combine like terms: 9b + -9b = 0
a2 + 0 = 0 + -9b
a2 = 0 + -9b
Remove the zero:
a2 = -9b

Simplifying
a2 = -9b

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 '(a2 + -9b)' equal to zero and attempt to solve:

Simplifying
a2 + -9b = 0

Solving
a2 + -9b = 0

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

Add '9b' to each side of the equation.
a2 + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
a2 + 0 = 0 + 9b
a2 = 0 + 9b
Remove the zero:
a2 = 9b

Simplifying
a2 = 9b

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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