U^4w^4-u^4=0

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Solution for U^4w^4-u^4=0 equation: 


Simplifying
U4w4 + -1u4 = 0

Reorder the terms:
-1u4 + w4U4 = 0

Solving
-1u4 + w4U4 = 0

Solving for variable 'u'.

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

Add '-1w4U4' to each side of the equation.
-1u4 + w4U4 + -1w4U4 = 0 + -1w4U4

Combine like terms: w4U4 + -1w4U4 = 0
-1u4 + 0 = 0 + -1w4U4
-1u4 = 0 + -1w4U4
Remove the zero:
-1u4 = -1w4U4

Divide each side by '-1'.
u4 = w4U4

Simplifying
u4 = w4U4

Combine like terms: w4U4 + -1w4U4 = 0
u4 + -1w4U4 = 0

Factor a difference between two squares.
(u2 + w2U2)(u2 + -1w2U2) = 0

Factor a difference between two squares.
(u2 + w2U2)((u + wU)(u + -1wU)) = 0


Subproblem 1
Set the factor '(u2 + w2U2)' equal to zero and attempt to solve:

Simplifying
u2 + w2U2 = 0

Solving
u2 + w2U2 = 0

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

Add '-1w2U2' to each side of the equation.
u2 + w2U2 + -1w2U2 = 0 + -1w2U2

Combine like terms: w2U2 + -1w2U2 = 0
u2 + 0 = 0 + -1w2U2
u2 = 0 + -1w2U2
Remove the zero:
u2 = -1w2U2

Simplifying
u2 = -1w2U2

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 '(u + wU)' equal to zero and attempt to solve:

Simplifying
u + wU = 0

Solving
u + wU = 0

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

Add '-1wU' to each side of the equation.
u + wU + -1wU = 0 + -1wU

Combine like terms: wU + -1wU = 0
u + 0 = 0 + -1wU
u = 0 + -1wU
Remove the zero:
u = -1wU

Simplifying
u = -1wU

Subproblem 3
Set the factor '(u + -1wU)' equal to zero and attempt to solve:

Simplifying
u + -1wU = 0

Solving
u + -1wU = 0

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

Add 'wU' to each side of the equation.
u + -1wU + wU = 0 + wU

Combine like terms: -1wU + wU = 0
u + 0 = 0 + wU
u = 0 + wU
Remove the zero:
u = wU

Simplifying
u = wU
Solution
u = {-1wU, wU}

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