3x^4-48y^4=0

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Solution for 3x^4-48y^4=0 equation: 


Simplifying
3x4 + -48y4 = 0

Solving
3x4 + -48y4 = 0

Solving for variable 'x'.

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

Add '48y4' to each side of the equation.
3x4 + -48y4 + 48y4 = 0 + 48y4

Combine like terms: -48y4 + 48y4 = 0
3x4 + 0 = 0 + 48y4
3x4 = 0 + 48y4
Remove the zero:
3x4 = 48y4

Divide each side by '3'.
x4 = 16y4

Simplifying
x4 = 16y4

Combine like terms: 16y4 + -16y4 = 0
x4 + -16y4 = 0

Factor a difference between two squares.
(x2 + 4y2)(x2 + -4y2) = 0

Factor a difference between two squares.
(x2 + 4y2)((x + 2y)(x + -2y)) = 0


Subproblem 1
Set the factor '(x2 + 4y2)' equal to zero and attempt to solve:

Simplifying
x2 + 4y2 = 0

Solving
x2 + 4y2 = 0

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

Add '-4y2' to each side of the equation.
x2 + 4y2 + -4y2 = 0 + -4y2

Combine like terms: 4y2 + -4y2 = 0
x2 + 0 = 0 + -4y2
x2 = 0 + -4y2
Remove the zero:
x2 = -4y2

Simplifying
x2 = -4y2

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 '(x + 2y)' equal to zero and attempt to solve:

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

Add '-2y' to each side of the equation.
x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
x + 0 = 0 + -2y
x = 0 + -2y
Remove the zero:
x = -2y

Simplifying
x = -2y

Subproblem 3
Set the factor '(x + -2y)' equal to zero and attempt to solve:

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y
Solution
x = {-2y, 2y}

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