u^4-4v^2=0

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Solution for u^4-4v^2=0 equation: 


Simplifying
u4 + -4v2 = 0

Solving
u4 + -4v2 = 0

Solving for variable 'u'.

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

Add '4v2' to each side of the equation.
u4 + -4v2 + 4v2 = 0 + 4v2

Combine like terms: -4v2 + 4v2 = 0
u4 + 0 = 0 + 4v2
u4 = 0 + 4v2
Remove the zero:
u4 = 4v2

Simplifying
u4 = 4v2

Combine like terms: 4v2 + -4v2 = 0
u4 + -4v2 = 0

Factor a difference between two squares.
(u2 + 2v)(u2 + -2v) = 0


Subproblem 1
Set the factor '(u2 + 2v)' equal to zero and attempt to solve:

Simplifying
u2 + 2v = 0

Solving
u2 + 2v = 0

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

Add '-2v' to each side of the equation.
u2 + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
u2 + 0 = 0 + -2v
u2 = 0 + -2v
Remove the zero:
u2 = -2v

Simplifying
u2 = -2v

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 '(u2 + -2v)' equal to zero and attempt to solve:

Simplifying
u2 + -2v = 0

Solving
u2 + -2v = 0

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

Add '2v' to each side of the equation.
u2 + -2v + 2v = 0 + 2v

Combine like terms: -2v + 2v = 0
u2 + 0 = 0 + 2v
u2 = 0 + 2v
Remove the zero:
u2 = 2v

Simplifying
u2 = 2v

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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