16s^4-d^4=0

Solution for 16s^4-d^4=0 equation:

Simplifying
16s4 + -1d4 = 0

Reorder the terms:
-1d4 + 16s4 = 0

Solving
-1d4 + 16s4 = 0

Solving for variable 'd'.

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

Add '-16s4' to each side of the equation.
-1d4 + 16s4 + -16s4 = 0 + -16s4

Combine like terms: 16s4 + -16s4 = 0
-1d4 + 0 = 0 + -16s4
-1d4 = 0 + -16s4
Remove the zero:
-1d4 = -16s4

Divide each side by '-1'.
d4 = 16s4

Simplifying
d4 = 16s4

Combine like terms: 16s4 + -16s4 = 0
d4 + -16s4 = 0

Factor a difference between two squares.
(d2 + 4s2)(d2 + -4s2) = 0

Factor a difference between two squares.
(d2 + 4s2)((d + 2s)(d + -2s)) = 0

Subproblem 1
Set the factor '(d2 + 4s2)' equal to zero and attempt to solve:

Simplifying
d2 + 4s2 = 0

Solving
d2 + 4s2 = 0

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

Add '-4s2' to each side of the equation.
d2 + 4s2 + -4s2 = 0 + -4s2

Combine like terms: 4s2 + -4s2 = 0
d2 + 0 = 0 + -4s2
d2 = 0 + -4s2
Remove the zero:
d2 = -4s2

Simplifying
d2 = -4s2

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 '(d + 2s)' equal to zero and attempt to solve:

Simplifying
d + 2s = 0

Solving
d + 2s = 0

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

Add '-2s' to each side of the equation.
d + 2s + -2s = 0 + -2s

Combine like terms: 2s + -2s = 0
d + 0 = 0 + -2s
d = 0 + -2s
Remove the zero:
d = -2s

Simplifying
d = -2s
Subproblem 3
Set the factor '(d + -2s)' equal to zero and attempt to solve:

Simplifying
d + -2s = 0

Solving
d + -2s = 0

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

Add '2s' to each side of the equation.
d + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
d + 0 = 0 + 2s
d = 0 + 2s
Remove the zero:
d = 2s

Simplifying
d = 2s
Solution
d = {-2s, 2s}