4x^2y^2-4p^4q^2=0

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


Simplifying
4x2y2 + -4p4q2 = 0

Reorder the terms:
-4p4q2 + 4x2y2 = 0

Solving
-4p4q2 + 4x2y2 = 0

Solving for variable 'p'.

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

Add '-4x2y2' to each side of the equation.
-4p4q2 + 4x2y2 + -4x2y2 = 0 + -4x2y2

Combine like terms: 4x2y2 + -4x2y2 = 0
-4p4q2 + 0 = 0 + -4x2y2
-4p4q2 = 0 + -4x2y2
Remove the zero:
-4p4q2 = -4x2y2

Divide each side by '-4q2'.
p4 = q-2x2y2

Simplifying
p4 = q-2x2y2

Combine like terms: q-2x2y2 + -1q-2x2y2 = 0
p4 + -1q-2x2y2 = 0

Factor a difference between two squares.
(p2 + q-1xy)(p2 + -1q-1xy) = 0


Subproblem 1
Set the factor '(p2 + q-1xy)' equal to zero and attempt to solve:

Simplifying
p2 + q-1xy = 0

Solving
p2 + q-1xy = 0

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

Add '-1q-1xy' to each side of the equation.
p2 + q-1xy + -1q-1xy = 0 + -1q-1xy

Combine like terms: q-1xy + -1q-1xy = 0
p2 + 0 = 0 + -1q-1xy
p2 = 0 + -1q-1xy
Remove the zero:
p2 = -1q-1xy

Simplifying
p2 = -1q-1xy

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 '(p2 + -1q-1xy)' equal to zero and attempt to solve:

Simplifying
p2 + -1q-1xy = 0

Solving
p2 + -1q-1xy = 0

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

Add 'q-1xy' to each side of the equation.
p2 + -1q-1xy + q-1xy = 0 + q-1xy

Combine like terms: -1q-1xy + q-1xy = 0
p2 + 0 = 0 + q-1xy
p2 = 0 + q-1xy
Remove the zero:
p2 = q-1xy

Simplifying
p2 = q-1xy

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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