81a^4+72a^2b^2+16b^4=

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Solution for 81a^4+72a^2b^2+16b^4= equation: 


Simplifying
81a4 + 72a2b2 + 16b4 = 0

Reorder the terms:
72a2b2 + 81a4 + 16b4 = 0

Solving
72a2b2 + 81a4 + 16b4 = 0

Solving for variable 'a'.

Factor a trinomial.
(9a2 + 4b2)(9a2 + 4b2) = 0


Subproblem 1
Set the factor '(9a2 + 4b2)' equal to zero and attempt to solve:

Simplifying
9a2 + 4b2 = 0

Solving
9a2 + 4b2 = 0

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

Add '-4b2' to each side of the equation.
9a2 + 4b2 + -4b2 = 0 + -4b2

Combine like terms: 4b2 + -4b2 = 0
9a2 + 0 = 0 + -4b2
9a2 = 0 + -4b2
Remove the zero:
9a2 = -4b2

Divide each side by '9'.
a2 = -0.4444444444b2

Simplifying
a2 = -0.4444444444b2

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 '(9a2 + 4b2)' equal to zero and attempt to solve:

Simplifying
9a2 + 4b2 = 0

Solving
9a2 + 4b2 = 0

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

Add '-4b2' to each side of the equation.
9a2 + 4b2 + -4b2 = 0 + -4b2

Combine like terms: 4b2 + -4b2 = 0
9a2 + 0 = 0 + -4b2
9a2 = 0 + -4b2
Remove the zero:
9a2 = -4b2

Divide each side by '9'.
a2 = -0.4444444444b2

Simplifying
a2 = -0.4444444444b2

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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