(2a^4-b^4)(2a^4+b^4)=0

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Solution for (2a^4-b^4)(2a^4+b^4)=0 equation: 


Simplifying
(2a4 + -1b4)(2a4 + b4) = 0

Multiply (2a4 + -1b4) * (2a4 + b4)
(2a4 * (2a4 + b4) + -1b4 * (2a4 + b4)) = 0
((2a4 * 2a4 + b4 * 2a4) + -1b4 * (2a4 + b4)) = 0

Reorder the terms:
((2a4b4 + 4a8) + -1b4 * (2a4 + b4)) = 0
((2a4b4 + 4a8) + -1b4 * (2a4 + b4)) = 0
(2a4b4 + 4a8 + (2a4 * -1b4 + b4 * -1b4)) = 0
(2a4b4 + 4a8 + (-2a4b4 + -1b8)) = 0

Reorder the terms:
(2a4b4 + -2a4b4 + 4a8 + -1b8) = 0

Combine like terms: 2a4b4 + -2a4b4 = 0
(0 + 4a8 + -1b8) = 0
(4a8 + -1b8) = 0

Solving
4a8 + -1b8 = 0

Solving for variable 'a'.

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

Add 'b8' to each side of the equation.
4a8 + -1b8 + b8 = 0 + b8

Combine like terms: -1b8 + b8 = 0
4a8 + 0 = 0 + b8
4a8 = 0 + b8
Remove the zero:
4a8 = b8

Divide each side by '4'.
a8 = 0.25b8

Simplifying
a8 = 0.25b8

Combine like terms: 0.25b8 + -0.25b8 = 0.00
a8 + -0.25b8 = 0.00

Factor a difference between two squares.
(a4 + 0.5b4)(a4 + -0.5b4) = 0.00


Subproblem 1
Set the factor '(a4 + 0.5b4)' equal to zero and attempt to solve:

Simplifying
a4 + 0.5b4 = 0

Solving
a4 + 0.5b4 = 0

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

Add '-0.5b4' to each side of the equation.
a4 + 0.5b4 + -0.5b4 = 0 + -0.5b4

Combine like terms: 0.5b4 + -0.5b4 = 0.0
a4 + 0.0 = 0 + -0.5b4
a4 = 0 + -0.5b4
Remove the zero:
a4 = -0.5b4

Simplifying
a4 = -0.5b4

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 '(a4 + -0.5b4)' equal to zero and attempt to solve:

Simplifying
a4 + -0.5b4 = 0

Solving
a4 + -0.5b4 = 0

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

Add '0.5b4' to each side of the equation.
a4 + -0.5b4 + 0.5b4 = 0 + 0.5b4

Combine like terms: -0.5b4 + 0.5b4 = 0.0
a4 + 0.0 = 0 + 0.5b4
a4 = 0 + 0.5b4
Remove the zero:
a4 = 0.5b4

Simplifying
a4 = 0.5b4

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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