36y^2-x^4=0

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Solution for 36y^2-x^4=0 equation: 


Simplifying
36y2 + -1x4 = 0

Reorder the terms:
-1x4 + 36y2 = 0

Solving
-1x4 + 36y2 = 0

Solving for variable 'x'.

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

Add '-36y2' to each side of the equation.
-1x4 + 36y2 + -36y2 = 0 + -36y2

Combine like terms: 36y2 + -36y2 = 0
-1x4 + 0 = 0 + -36y2
-1x4 = 0 + -36y2
Remove the zero:
-1x4 = -36y2

Divide each side by '-1'.
x4 = 36y2

Simplifying
x4 = 36y2

Combine like terms: 36y2 + -36y2 = 0
x4 + -36y2 = 0

Factor a difference between two squares.
(x2 + 6y)(x2 + -6y) = 0


Subproblem 1
Set the factor '(x2 + 6y)' equal to zero and attempt to solve:

Simplifying
x2 + 6y = 0

Solving
x2 + 6y = 0

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

Add '-6y' to each side of the equation.
x2 + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
x2 + 0 = 0 + -6y
x2 = 0 + -6y
Remove the zero:
x2 = -6y

Simplifying
x2 = -6y

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 + -6y)' equal to zero and attempt to solve:

Simplifying
x2 + -6y = 0

Solving
x2 + -6y = 0

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

Add '6y' to each side of the equation.
x2 + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
x2 + 0 = 0 + 6y
x2 = 0 + 6y
Remove the zero:
x2 = 6y

Simplifying
x2 = 6y

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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