5x^4-80y^2=0

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Solution for 5x^4-80y^2=0 equation: 


Simplifying
5x4 + -80y2 = 0

Solving
5x4 + -80y2 = 0

Solving for variable 'x'.

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

Add '80y2' to each side of the equation.
5x4 + -80y2 + 80y2 = 0 + 80y2

Combine like terms: -80y2 + 80y2 = 0
5x4 + 0 = 0 + 80y2
5x4 = 0 + 80y2
Remove the zero:
5x4 = 80y2

Divide each side by '5'.
x4 = 16y2

Simplifying
x4 = 16y2

Combine like terms: 16y2 + -16y2 = 0
x4 + -16y2 = 0

Factor a difference between two squares.
(x2 + 4y)(x2 + -4y) = 0


Subproblem 1
Set the factor '(x2 + 4y)' equal to zero and attempt to solve:

Simplifying
x2 + 4y = 0

Solving
x2 + 4y = 0

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

Add '-4y' to each side of the equation.
x2 + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x2 + 0 = 0 + -4y
x2 = 0 + -4y
Remove the zero:
x2 = -4y

Simplifying
x2 = -4y

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 + -4y)' equal to zero and attempt to solve:

Simplifying
x2 + -4y = 0

Solving
x2 + -4y = 0

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

Add '4y' to each side of the equation.
x2 + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 = 0 + 4y
x2 = 0 + 4y
Remove the zero:
x2 = 4y

Simplifying
x2 = 4y

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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