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

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


Simplifying
4u4 + -25u2v3 = 0

Reorder the terms:
-25u2v3 + 4u4 = 0

Solving
-25u2v3 + 4u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u2'.
u2(-25v3 + 4u2) = 0


Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve:

Simplifying
u2 = 0

Solving
u2 = 0

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

Simplifying
u2 = 0

Take the square root of each side:
u = {0}

Subproblem 2
Set the factor '(-25v3 + 4u2)' equal to zero and attempt to solve:

Simplifying
-25v3 + 4u2 = 0

Reorder the terms:
4u2 + -25v3 = 0

Solving
4u2 + -25v3 = 0

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

Add '25v3' to each side of the equation.
4u2 + -25v3 + 25v3 = 0 + 25v3

Combine like terms: -25v3 + 25v3 = 0
4u2 + 0 = 0 + 25v3
4u2 = 0 + 25v3
Remove the zero:
4u2 = 25v3

Divide each side by '4'.
u2 = 6.25v3

Simplifying
u2 = 6.25v3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}

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