x*2-2xy+y*2=16

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Solution for x*2-2xy+y*2=16 equation: 


Simplifying
x * 2 + -2xy + y * 2 = 16

Reorder the terms for easier multiplication:
2x + -2xy + y * 2 = 16

Reorder the terms for easier multiplication:
2x + -2xy + 2y = 16

Solving
2x + -2xy + 2y = 16

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
2x + -2xy + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
2x + -2xy + 0 = 16 + -2y
2x + -2xy = 16 + -2y

Reorder the terms:
-16 + 2x + -2xy + 2y = 16 + -2y + -16 + 2y

Reorder the terms:
-16 + 2x + -2xy + 2y = 16 + -16 + -2y + 2y

Combine like terms: 16 + -16 = 0
-16 + 2x + -2xy + 2y = 0 + -2y + 2y
-16 + 2x + -2xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-16 + 2x + -2xy + 2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + x + -1xy + y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + x + -1xy + y)' equal to zero and attempt to solve:

Simplifying
-8 + x + -1xy + y = 0

Solving
-8 + x + -1xy + y = 0

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

Add '8' to each side of the equation.
-8 + x + -1xy + 8 + y = 0 + 8

Reorder the terms:
-8 + 8 + x + -1xy + y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x + -1xy + y = 0 + 8
x + -1xy + y = 0 + 8

Combine like terms: 0 + 8 = 8
x + -1xy + y = 8

Add '-1y' to each side of the equation.
x + -1xy + y + -1y = 8 + -1y

Combine like terms: y + -1y = 0
x + -1xy + 0 = 8 + -1y
x + -1xy = 8 + -1y

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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