25u^4v-4u^2v^3=

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Solution for 25u^4v-4u^2v^3= equation: 


Simplifying
25u4v + -4u2v3 = 0

Reorder the terms:
-4u2v3 + 25u4v = 0

Solving
-4u2v3 + 25u4v = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u2v'.
u2v(-4v2 + 25u2) = 0

Factor a difference between two squares.
u2v((2v + 5u)(-2v + 5u)) = 0


Subproblem 1
Set the factor 'u2v' equal to zero and attempt to solve:

Simplifying
u2v = 0

Solving
u2v = 0

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

Simplifying
u2v = 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 '(2v + 5u)' equal to zero and attempt to solve:

Simplifying
2v + 5u = 0

Reorder the terms:
5u + 2v = 0

Solving
5u + 2v = 0

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

Add '-2v' to each side of the equation.
5u + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
5u + 0 = 0 + -2v
5u = 0 + -2v
Remove the zero:
5u = -2v

Divide each side by '5'.
u = -0.4v

Simplifying
u = -0.4v

Subproblem 3
Set the factor '(-2v + 5u)' equal to zero and attempt to solve:

Simplifying
-2v + 5u = 0

Reorder the terms:
5u + -2v = 0

Solving
5u + -2v = 0

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

Add '2v' to each side of the equation.
5u + -2v + 2v = 0 + 2v

Combine like terms: -2v + 2v = 0
5u + 0 = 0 + 2v
5u = 0 + 2v
Remove the zero:
5u = 2v

Divide each side by '5'.
u = 0.4v

Simplifying
u = 0.4v
Solution
u = {-0.4v, 0.4v}

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