9x^4-x^2y^2=0

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Solution for 9x^4-x^2y^2=0 equation: 


Simplifying
9x4 + -1x2y2 = 0

Reorder the terms:
-1x2y2 + 9x4 = 0

Solving
-1x2y2 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1y2 + 9x2) = 0

Factor a difference between two squares.
x2((y + 3x)(-1y + 3x)) = 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 '(y + 3x)' equal to zero and attempt to solve:

Simplifying
y + 3x = 0

Reorder the terms:
3x + y = 0

Solving
3x + y = 0

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

Add '-1y' to each side of the equation.
3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 0 + -1y
3x = 0 + -1y
Remove the zero:
3x = -1y

Divide each side by '3'.
x = -0.3333333333y

Simplifying
x = -0.3333333333y

Subproblem 3
Set the factor '(-1y + 3x)' equal to zero and attempt to solve:

Simplifying
-1y + 3x = 0

Reorder the terms:
3x + -1y = 0

Solving
3x + -1y = 0

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

Add 'y' to each side of the equation.
3x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
3x + 0 = 0 + y
3x = 0 + y
Remove the zero:
3x = y

Divide each side by '3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y
Solution
x = {0, -0.3333333333y, 0.3333333333y}

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