147x^4-108x^2y^2=0

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Solution for 147x^4-108x^2y^2=0 equation: 


Simplifying
147x4 + -108x2y2 = 0

Reorder the terms:
-108x2y2 + 147x4 = 0

Solving
-108x2y2 + 147x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-36y2 + 49x2) = 0

Factor a difference between two squares.
3x2((6y + 7x)(-6y + 7x)) = 0

Ignore the factor 3.

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 '(6y + 7x)' equal to zero and attempt to solve:

Simplifying
6y + 7x = 0

Reorder the terms:
7x + 6y = 0

Solving
7x + 6y = 0

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

Add '-6y' to each side of the equation.
7x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
7x + 0 = 0 + -6y
7x = 0 + -6y
Remove the zero:
7x = -6y

Divide each side by '7'.
x = -0.8571428571y

Simplifying
x = -0.8571428571y

Subproblem 3
Set the factor '(-6y + 7x)' equal to zero and attempt to solve:

Simplifying
-6y + 7x = 0

Reorder the terms:
7x + -6y = 0

Solving
7x + -6y = 0

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

Add '6y' to each side of the equation.
7x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
7x + 0 = 0 + 6y
7x = 0 + 6y
Remove the zero:
7x = 6y

Divide each side by '7'.
x = 0.8571428571y

Simplifying
x = 0.8571428571y
Solution
x = {0, -0.8571428571y, 0.8571428571y}

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