16a^4-b^4=

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Solution for 16a^4-b^4= equation: 


Simplifying
16a4 + -1b4 = 0

Solving
16a4 + -1b4 = 0

Solving for variable 'a'.

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

Add 'b4' to each side of the equation.
16a4 + -1b4 + b4 = 0 + b4

Combine like terms: -1b4 + b4 = 0
16a4 + 0 = 0 + b4
16a4 = 0 + b4
Remove the zero:
16a4 = b4

Divide each side by '16'.
a4 = 0.0625b4

Simplifying
a4 = 0.0625b4

Combine like terms: 0.0625b4 + -0.0625b4 = 0.0000
a4 + -0.0625b4 = 0.0000

Factor a difference between two squares.
(a2 + 0.25b2)(a2 + -0.25b2) = 0.0000

Factor a difference between two squares.
(a2 + 0.25b2)((a + 0.5b)(a + -0.5b)) = 0.0000


Subproblem 1
Set the factor '(a2 + 0.25b2)' equal to zero and attempt to solve:

Simplifying
a2 + 0.25b2 = 0

Solving
a2 + 0.25b2 = 0

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

Add '-0.25b2' to each side of the equation.
a2 + 0.25b2 + -0.25b2 = 0 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
a2 + 0.00 = 0 + -0.25b2
a2 = 0 + -0.25b2
Remove the zero:
a2 = -0.25b2

Simplifying
a2 = -0.25b2

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 + 0.5b)' equal to zero and attempt to solve:

Simplifying
a + 0.5b = 0

Solving
a + 0.5b = 0

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

Add '-0.5b' to each side of the equation.
a + 0.5b + -0.5b = 0 + -0.5b

Combine like terms: 0.5b + -0.5b = 0.0
a + 0.0 = 0 + -0.5b
a = 0 + -0.5b
Remove the zero:
a = -0.5b

Simplifying
a = -0.5b

Subproblem 3
Set the factor '(a + -0.5b)' equal to zero and attempt to solve:

Simplifying
a + -0.5b = 0

Solving
a + -0.5b = 0

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

Add '0.5b' to each side of the equation.
a + -0.5b + 0.5b = 0 + 0.5b

Combine like terms: -0.5b + 0.5b = 0.0
a + 0.0 = 0 + 0.5b
a = 0 + 0.5b
Remove the zero:
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {-0.5b, 0.5b}

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