24u^3w^2x^8-6u^5w^6=

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Solution for 24u^3w^2x^8-6u^5w^6= equation: 


Simplifying
24u3w2x8 + -6u5w6 = 0

Solving
24u3w2x8 + -6u5w6 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u3w2'.
6u3w2(4x8 + -1u2w4) = 0

Factor a difference between two squares.
6u3w2((2x4 + uw2)(2x4 + -1uw2)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'u3w2' equal to zero and attempt to solve:

Simplifying
u3w2 = 0

Solving
u3w2 = 0

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

Simplifying
u3w2 = 0

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 '(2x4 + uw2)' equal to zero and attempt to solve:

Simplifying
2x4 + uw2 = 0

Reorder the terms:
uw2 + 2x4 = 0

Solving
uw2 + 2x4 = 0

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

Add '-2x4' to each side of the equation.
uw2 + 2x4 + -2x4 = 0 + -2x4

Combine like terms: 2x4 + -2x4 = 0
uw2 + 0 = 0 + -2x4
uw2 = 0 + -2x4
Remove the zero:
uw2 = -2x4

Divide each side by 'w2'.
u = -2w-2x4

Simplifying
u = -2w-2x4

Subproblem 3
Set the factor '(2x4 + -1uw2)' equal to zero and attempt to solve:

Simplifying
2x4 + -1uw2 = 0

Reorder the terms:
-1uw2 + 2x4 = 0

Solving
-1uw2 + 2x4 = 0

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

Add '-2x4' to each side of the equation.
-1uw2 + 2x4 + -2x4 = 0 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-1uw2 + 0 = 0 + -2x4
-1uw2 = 0 + -2x4
Remove the zero:
-1uw2 = -2x4

Divide each side by '-1w2'.
u = 2w-2x4

Simplifying
u = 2w-2x4
Solution
u = {-2w-2x4, 2w-2x4}

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