(u^4v^4+w^3x^3)(u^4v^4-w^3x^3)=

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Solution for (u^4v^4+w^3x^3)(u^4v^4-w^3x^3)= equation: 


Simplifying
(u4v4 + w3x3)(u4v4 + -1w3x3) = 0

Multiply (u4v4 + w3x3) * (u4v4 + -1w3x3)
(u4v4(u4v4 + -1w3x3) + w3x3(u4v4 + -1w3x3)) = 0
((u4v4 * u4v4 + -1w3x3 * u4v4) + w3x3(u4v4 + -1w3x3)) = 0

Reorder the terms:
((-1u4v4w3x3 + u8v8) + w3x3(u4v4 + -1w3x3)) = 0
((-1u4v4w3x3 + u8v8) + w3x3(u4v4 + -1w3x3)) = 0
(-1u4v4w3x3 + u8v8 + (u4v4 * w3x3 + -1w3x3 * w3x3)) = 0
(-1u4v4w3x3 + u8v8 + (u4v4w3x3 + -1w6x6)) = 0

Reorder the terms:
(-1u4v4w3x3 + u4v4w3x3 + u8v8 + -1w6x6) = 0

Combine like terms: -1u4v4w3x3 + u4v4w3x3 = 0
(0 + u8v8 + -1w6x6) = 0
(u8v8 + -1w6x6) = 0

Solving
u8v8 + -1w6x6 = 0

Solving for variable 'u'.

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

Add 'w6x6' to each side of the equation.
u8v8 + -1w6x6 + w6x6 = 0 + w6x6

Combine like terms: -1w6x6 + w6x6 = 0
u8v8 + 0 = 0 + w6x6
u8v8 = 0 + w6x6
Remove the zero:
u8v8 = w6x6

Divide each side by 'v8'.
u8 = v-8w6x6

Simplifying
u8 = v-8w6x6

Combine like terms: v-8w6x6 + -1v-8w6x6 = 0
u8 + -1v-8w6x6 = 0

Factor a difference between two squares.
(u4 + v-4w3x3)(u4 + -1v-4w3x3) = 0


Subproblem 1
Set the factor '(u4 + v-4w3x3)' equal to zero and attempt to solve:

Simplifying
u4 + v-4w3x3 = 0

Solving
u4 + v-4w3x3 = 0

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

Add '-1v-4w3x3' to each side of the equation.
u4 + v-4w3x3 + -1v-4w3x3 = 0 + -1v-4w3x3

Combine like terms: v-4w3x3 + -1v-4w3x3 = 0
u4 + 0 = 0 + -1v-4w3x3
u4 = 0 + -1v-4w3x3
Remove the zero:
u4 = -1v-4w3x3

Simplifying
u4 = -1v-4w3x3

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 '(u4 + -1v-4w3x3)' equal to zero and attempt to solve:

Simplifying
u4 + -1v-4w3x3 = 0

Solving
u4 + -1v-4w3x3 = 0

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

Add 'v-4w3x3' to each side of the equation.
u4 + -1v-4w3x3 + v-4w3x3 = 0 + v-4w3x3

Combine like terms: -1v-4w3x3 + v-4w3x3 = 0
u4 + 0 = 0 + v-4w3x3
u4 = 0 + v-4w3x3
Remove the zero:
u4 = v-4w3x3

Simplifying
u4 = v-4w3x3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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