4x^4-y^2=0

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Solution for 4x^4-y^2=0 equation: 


Simplifying
4x4 + -1y2 = 0

Solving
4x4 + -1y2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
4x4 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
4x4 + 0 = 0 + y2
4x4 = 0 + y2
Remove the zero:
4x4 = y2

Divide each side by '4'.
x4 = 0.25y2

Simplifying
x4 = 0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
x4 + -0.25y2 = 0.00

Factor a difference between two squares.
(x2 + 0.5y)(x2 + -0.5y) = 0.00


Subproblem 1
Set the factor '(x2 + 0.5y)' equal to zero and attempt to solve:

Simplifying
x2 + 0.5y = 0

Solving
x2 + 0.5y = 0

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

Add '-0.5y' to each side of the equation.
x2 + 0.5y + -0.5y = 0 + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
x2 + 0.0 = 0 + -0.5y
x2 = 0 + -0.5y
Remove the zero:
x2 = -0.5y

Simplifying
x2 = -0.5y

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 '(x2 + -0.5y)' equal to zero and attempt to solve:

Simplifying
x2 + -0.5y = 0

Solving
x2 + -0.5y = 0

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

Add '0.5y' to each side of the equation.
x2 + -0.5y + 0.5y = 0 + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
x2 + 0.0 = 0 + 0.5y
x2 = 0 + 0.5y
Remove the zero:
x2 = 0.5y

Simplifying
x2 = 0.5y

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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