8x^4+56x^2y^2-72x^2y=

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Solution for 8x^4+56x^2y^2-72x^2y= equation: 


Simplifying
8x4 + 56x2y2 + -72x2y = 0

Reorder the terms:
-72x2y + 56x2y2 + 8x4 = 0

Solving
-72x2y + 56x2y2 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(-9y + 7y2 + x2) = 0

Ignore the factor 8.

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 '(-9y + 7y2 + x2)' equal to zero and attempt to solve:

Simplifying
-9y + 7y2 + x2 = 0

Reorder the terms:
x2 + -9y + 7y2 = 0

Solving
x2 + -9y + 7y2 = 0

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

Add '9y' to each side of the equation.
x2 + -9y + 9y + 7y2 = 0 + 9y

Combine like terms: -9y + 9y = 0
x2 + 0 + 7y2 = 0 + 9y
x2 + 7y2 = 0 + 9y
Remove the zero:
x2 + 7y2 = 9y

Add '-7y2' to each side of the equation.
x2 + 7y2 + -7y2 = 9y + -7y2

Combine like terms: 7y2 + -7y2 = 0
x2 + 0 = 9y + -7y2
x2 = 9y + -7y2

Simplifying
x2 = 9y + -7y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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