16x^4-a^4=0

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Solution for 16x^4-a^4=0 equation: 


Simplifying
16x4 + -1a4 = 0

Reorder the terms:
-1a4 + 16x4 = 0

Solving
-1a4 + 16x4 = 0

Solving for variable 'a'.

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

Add '-16x4' to each side of the equation.
-1a4 + 16x4 + -16x4 = 0 + -16x4

Combine like terms: 16x4 + -16x4 = 0
-1a4 + 0 = 0 + -16x4
-1a4 = 0 + -16x4
Remove the zero:
-1a4 = -16x4

Divide each side by '-1'.
a4 = 16x4

Simplifying
a4 = 16x4

Combine like terms: 16x4 + -16x4 = 0
a4 + -16x4 = 0

Factor a difference between two squares.
(a2 + 4x2)(a2 + -4x2) = 0

Factor a difference between two squares.
(a2 + 4x2)((a + 2x)(a + -2x)) = 0


Subproblem 1
Set the factor '(a2 + 4x2)' equal to zero and attempt to solve:

Simplifying
a2 + 4x2 = 0

Solving
a2 + 4x2 = 0

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

Add '-4x2' to each side of the equation.
a2 + 4x2 + -4x2 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
a2 + 0 = 0 + -4x2
a2 = 0 + -4x2
Remove the zero:
a2 = -4x2

Simplifying
a2 = -4x2

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 + 2x)' equal to zero and attempt to solve:

Simplifying
a + 2x = 0

Solving
a + 2x = 0

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

Add '-2x' to each side of the equation.
a + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
a + 0 = 0 + -2x
a = 0 + -2x
Remove the zero:
a = -2x

Simplifying
a = -2x

Subproblem 3
Set the factor '(a + -2x)' equal to zero and attempt to solve:

Simplifying
a + -2x = 0

Solving
a + -2x = 0

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

Add '2x' to each side of the equation.
a + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
a + 0 = 0 + 2x
a = 0 + 2x
Remove the zero:
a = 2x

Simplifying
a = 2x
Solution
a = {-2x, 2x}

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