16x^4a-y^8a=0

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Solution for 16x^4a-y^8a=0 equation: 


Simplifying
16x4a + -1y8a = 0

Solving
16ax4 + -1ay8 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(16x4 + -1y8) = 0

Factor a difference between two squares.
a((4x2 + y4)(4x2 + -1y4)) = 0

Factor a difference between two squares.
a((4x2 + y4)((2x + y2)(2x + -1y2))) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(4x2 + y4)' equal to zero and attempt to solve:

Simplifying
4x2 + y4 = 0

Solving
4x2 + y4 = 0

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

Add '-4x2' to each side of the equation.
4x2 + -4x2 + y4 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 + y4 = 0 + -4x2
y4 = 0 + -4x2
Remove the zero:
y4 = -4x2

Add '-1y4' to each side of the equation.
y4 + -1y4 = -4x2 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = -4x2 + -1y4

Simplifying
0 = -4x2 + -1y4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2x + y2)' equal to zero and attempt to solve:

Simplifying
2x + y2 = 0

Solving
2x + y2 = 0

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

Add '-2x' to each side of the equation.
2x + -2x + y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + y2 = 0 + -2x
y2 = 0 + -2x
Remove the zero:
y2 = -2x

Add '-1y2' to each side of the equation.
y2 + -1y2 = -2x + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -2x + -1y2

Simplifying
0 = -2x + -1y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 4
Set the factor '(2x + -1y2)' equal to zero and attempt to solve:

Simplifying
2x + -1y2 = 0

Solving
2x + -1y2 = 0

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

Add '-2x' to each side of the equation.
2x + -2x + -1y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -1y2 = 0 + -2x
-1y2 = 0 + -2x
Remove the zero:
-1y2 = -2x

Add 'y2' to each side of the equation.
-1y2 + y2 = -2x + y2

Combine like terms: -1y2 + y2 = 0
0 = -2x + y2

Simplifying
0 = -2x + y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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