x^4-3x^2y^2=

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Solution for x^4-3x^2y^2= equation: 


Simplifying
x4 + -3x2y2 = 0

Reorder the terms:
-3x2y2 + x4 = 0

Solving
-3x2y2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3y2 + x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-3y2 + x2)' equal to zero and attempt to solve:

Simplifying
-3y2 + x2 = 0

Reorder the terms:
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 = {0, -1.732050808y, 1.732050808y}

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