4x^4-36y^4=0

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


Simplifying
4x4 + -36y4 = 0

Solving
4x4 + -36y4 = 0

Solving for variable 'x'.

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

Add '36y4' to each side of the equation.
4x4 + -36y4 + 36y4 = 0 + 36y4

Combine like terms: -36y4 + 36y4 = 0
4x4 + 0 = 0 + 36y4
4x4 = 0 + 36y4
Remove the zero:
4x4 = 36y4

Divide each side by '4'.
x4 = 9y4

Simplifying
x4 = 9y4

Combine like terms: 9y4 + -9y4 = 0
x4 + -9y4 = 0

Factor a difference between two squares.
(x2 + 3y2)(x2 + -3y2) = 0


Subproblem 1
Set the factor '(x2 + 3y2)' equal to zero and attempt to solve:

Simplifying
x2 + 3y2 = 0

Solving
x2 + 3y2 = 0

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

Add '-3y2' to each side of the equation.
x2 + 3y2 + -3y2 = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
x2 + 0 = 0 + -3y2
x2 = 0 + -3y2
Remove the zero:
x2 = -3y2

Simplifying
x2 = -3y2

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 + -3y2)' equal to zero and attempt to solve:

Simplifying
x2 + -3y2 = 0

Solving
x2 + -3y2 = 0

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

Add '3y2' to each side of the equation.
x2 + -3y2 + 3y2 = 0 + 3y2

Combine like terms: -3y2 + 3y2 = 0
x2 + 0 = 0 + 3y2
x2 = 0 + 3y2
Remove the zero:
x2 = 3y2

Simplifying
x2 = 3y2

Take the square root of each side:
x = {-1.732050808y, 1.732050808y}
Solution
x = {-1.732050808y, 1.732050808y}

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