81w^4-d^4=0

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Solution for 81w^4-d^4=0 equation: 


Simplifying
81w4 + -1d4 = 0

Reorder the terms:
-1d4 + 81w4 = 0

Solving
-1d4 + 81w4 = 0

Solving for variable 'd'.

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

Add '-81w4' to each side of the equation.
-1d4 + 81w4 + -81w4 = 0 + -81w4

Combine like terms: 81w4 + -81w4 = 0
-1d4 + 0 = 0 + -81w4
-1d4 = 0 + -81w4
Remove the zero:
-1d4 = -81w4

Divide each side by '-1'.
d4 = 81w4

Simplifying
d4 = 81w4

Combine like terms: 81w4 + -81w4 = 0
d4 + -81w4 = 0

Factor a difference between two squares.
(d2 + 9w2)(d2 + -9w2) = 0

Factor a difference between two squares.
(d2 + 9w2)((d + 3w)(d + -3w)) = 0


Subproblem 1
Set the factor '(d2 + 9w2)' equal to zero and attempt to solve:

Simplifying
d2 + 9w2 = 0

Solving
d2 + 9w2 = 0

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

Add '-9w2' to each side of the equation.
d2 + 9w2 + -9w2 = 0 + -9w2

Combine like terms: 9w2 + -9w2 = 0
d2 + 0 = 0 + -9w2
d2 = 0 + -9w2
Remove the zero:
d2 = -9w2

Simplifying
d2 = -9w2

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 + 3w)' equal to zero and attempt to solve:

Simplifying
d + 3w = 0

Solving
d + 3w = 0

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

Add '-3w' to each side of the equation.
d + 3w + -3w = 0 + -3w

Combine like terms: 3w + -3w = 0
d + 0 = 0 + -3w
d = 0 + -3w
Remove the zero:
d = -3w

Simplifying
d = -3w

Subproblem 3
Set the factor '(d + -3w)' equal to zero and attempt to solve:

Simplifying
d + -3w = 0

Solving
d + -3w = 0

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

Add '3w' to each side of the equation.
d + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
d + 0 = 0 + 3w
d = 0 + 3w
Remove the zero:
d = 3w

Simplifying
d = 3w
Solution
d = {-3w, 3w}

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