(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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