(u^4v^3+w^2x^4)(u^4v^3-w^2x^4)=

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Solution for (u^4v^3+w^2x^4)(u^4v^3-w^2x^4)= equation: 


Simplifying
(u4v3 + w2x4)(u4v3 + -1w2x4) = 0

Multiply (u4v3 + w2x4) * (u4v3 + -1w2x4)
(u4v3(u4v3 + -1w2x4) + w2x4(u4v3 + -1w2x4)) = 0
((u4v3 * u4v3 + -1w2x4 * u4v3) + w2x4(u4v3 + -1w2x4)) = 0

Reorder the terms:
((-1u4v3w2x4 + u8v6) + w2x4(u4v3 + -1w2x4)) = 0
((-1u4v3w2x4 + u8v6) + w2x4(u4v3 + -1w2x4)) = 0
(-1u4v3w2x4 + u8v6 + (u4v3 * w2x4 + -1w2x4 * w2x4)) = 0
(-1u4v3w2x4 + u8v6 + (u4v3w2x4 + -1w4x8)) = 0

Reorder the terms:
(-1u4v3w2x4 + u4v3w2x4 + u8v6 + -1w4x8) = 0

Combine like terms: -1u4v3w2x4 + u4v3w2x4 = 0
(0 + u8v6 + -1w4x8) = 0
(u8v6 + -1w4x8) = 0

Solving
u8v6 + -1w4x8 = 0

Solving for variable 'u'.

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

Add 'w4x8' to each side of the equation.
u8v6 + -1w4x8 + w4x8 = 0 + w4x8

Combine like terms: -1w4x8 + w4x8 = 0
u8v6 + 0 = 0 + w4x8
u8v6 = 0 + w4x8
Remove the zero:
u8v6 = w4x8

Divide each side by 'v6'.
u8 = v-6w4x8

Simplifying
u8 = v-6w4x8

Combine like terms: v-6w4x8 + -1v-6w4x8 = 0
u8 + -1v-6w4x8 = 0

Factor a difference between two squares.
(u4 + v-3w2x4)(u4 + -1v-3w2x4) = 0


Subproblem 1
Set the factor '(u4 + v-3w2x4)' equal to zero and attempt to solve:

Simplifying
u4 + v-3w2x4 = 0

Solving
u4 + v-3w2x4 = 0

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

Add '-1v-3w2x4' to each side of the equation.
u4 + v-3w2x4 + -1v-3w2x4 = 0 + -1v-3w2x4

Combine like terms: v-3w2x4 + -1v-3w2x4 = 0
u4 + 0 = 0 + -1v-3w2x4
u4 = 0 + -1v-3w2x4
Remove the zero:
u4 = -1v-3w2x4

Simplifying
u4 = -1v-3w2x4

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-3w2x4)' equal to zero and attempt to solve:

Simplifying
u4 + -1v-3w2x4 = 0

Solving
u4 + -1v-3w2x4 = 0

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

Add 'v-3w2x4' to each side of the equation.
u4 + -1v-3w2x4 + v-3w2x4 = 0 + v-3w2x4

Combine like terms: -1v-3w2x4 + v-3w2x4 = 0
u4 + 0 = 0 + v-3w2x4
u4 = 0 + v-3w2x4
Remove the zero:
u4 = v-3w2x4

Simplifying
u4 = v-3w2x4

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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