256a^4-81b^4=

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Solution for 256a^4-81b^4= equation: 


Simplifying
256a4 + -81b4 = 0

Solving
256a4 + -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.
256a4 + -81b4 + 81b4 = 0 + 81b4

Combine like terms: -81b4 + 81b4 = 0
256a4 + 0 = 0 + 81b4
256a4 = 0 + 81b4
Remove the zero:
256a4 = 81b4

Divide each side by '256'.
a4 = 0.31640625b4

Simplifying
a4 = 0.31640625b4

Combine like terms: 0.31640625b4 + -0.31640625b4 = 0.00000000
a4 + -0.31640625b4 = 0.00000000

Factor a difference between two squares.
(a2 + 0.5625b2)(a2 + -0.5625b2) = 0.00000000

Factor a difference between two squares.
(a2 + 0.5625b2)((a + 0.75b)(a + -0.75b)) = 0.00000000


Subproblem 1
Set the factor '(a2 + 0.5625b2)' equal to zero and attempt to solve:

Simplifying
a2 + 0.5625b2 = 0

Solving
a2 + 0.5625b2 = 0

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

Add '-0.5625b2' to each side of the equation.
a2 + 0.5625b2 + -0.5625b2 = 0 + -0.5625b2

Combine like terms: 0.5625b2 + -0.5625b2 = 0.0000
a2 + 0.0000 = 0 + -0.5625b2
a2 = 0 + -0.5625b2
Remove the zero:
a2 = -0.5625b2

Simplifying
a2 = -0.5625b2

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 + 0.75b)' equal to zero and attempt to solve:

Simplifying
a + 0.75b = 0

Solving
a + 0.75b = 0

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

Add '-0.75b' to each side of the equation.
a + 0.75b + -0.75b = 0 + -0.75b

Combine like terms: 0.75b + -0.75b = 0.00
a + 0.00 = 0 + -0.75b
a = 0 + -0.75b
Remove the zero:
a = -0.75b

Simplifying
a = -0.75b

Subproblem 3
Set the factor '(a + -0.75b)' equal to zero and attempt to solve:

Simplifying
a + -0.75b = 0

Solving
a + -0.75b = 0

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

Add '0.75b' to each side of the equation.
a + -0.75b + 0.75b = 0 + 0.75b

Combine like terms: -0.75b + 0.75b = 0.00
a + 0.00 = 0 + 0.75b
a = 0 + 0.75b
Remove the zero:
a = 0.75b

Simplifying
a = 0.75b
Solution
a = {-0.75b, 0.75b}

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