(2x+2y)(2x+2y)=180

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Solution for (2x+2y)(2x+2y)=180 equation: 


Simplifying
(2x + 2y)(2x + 2y) = 180

Multiply (2x + 2y) * (2x + 2y)
(2x * (2x + 2y) + 2y * (2x + 2y)) = 180
((2x * 2x + 2y * 2x) + 2y * (2x + 2y)) = 180

Reorder the terms:
((4xy + 4x2) + 2y * (2x + 2y)) = 180
((4xy + 4x2) + 2y * (2x + 2y)) = 180
(4xy + 4x2 + (2x * 2y + 2y * 2y)) = 180
(4xy + 4x2 + (4xy + 4y2)) = 180

Reorder the terms:
(4xy + 4xy + 4x2 + 4y2) = 180

Combine like terms: 4xy + 4xy = 8xy
(8xy + 4x2 + 4y2) = 180

Solving
8xy + 4x2 + 4y2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 8xy + 4x2 + 4y2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 8xy + 4x2 + 4y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + 2xy + x2 + y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-45 + 2xy + x2 + y2)' equal to zero and attempt to solve:

Simplifying
-45 + 2xy + x2 + y2 = 0

Solving
-45 + 2xy + x2 + y2 = 0

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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