((x+y)-4)((x+y)+4)=0

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Solution for ((x+y)-4)((x+y)+4)=0 equation:


Simplifying
((x + y) + -4)((x + y) + 4) = 0

Remove parenthesis around (x + y)
(x + y + -4)((x + y) + 4) = 0

Reorder the terms:
(-4 + x + y)((x + y) + 4) = 0

Remove parenthesis around (x + y)
(-4 + x + y)(x + y + 4) = 0

Reorder the terms:
(-4 + x + y)(4 + x + y) = 0

Multiply (-4 + x + y) * (4 + x + y)
(-4(4 + x + y) + x(4 + x + y) + y(4 + x + y)) = 0
((4 * -4 + x * -4 + y * -4) + x(4 + x + y) + y(4 + x + y)) = 0
((-16 + -4x + -4y) + x(4 + x + y) + y(4 + x + y)) = 0
(-16 + -4x + -4y + (4 * x + x * x + y * x) + y(4 + x + y)) = 0

Reorder the terms:
(-16 + -4x + -4y + (4x + xy + x2) + y(4 + x + y)) = 0
(-16 + -4x + -4y + (4x + xy + x2) + y(4 + x + y)) = 0
(-16 + -4x + -4y + 4x + xy + x2 + (4 * y + x * y + y * y)) = 0

Reorder the terms:
(-16 + -4x + -4y + 4x + xy + x2 + (xy + 4y + y2)) = 0
(-16 + -4x + -4y + 4x + xy + x2 + (xy + 4y + y2)) = 0

Reorder the terms:
(-16 + -4x + 4x + xy + xy + x2 + -4y + 4y + y2) = 0

Combine like terms: -4x + 4x = 0
(-16 + 0 + xy + xy + x2 + -4y + 4y + y2) = 0
(-16 + xy + xy + x2 + -4y + 4y + y2) = 0

Combine like terms: xy + xy = 2xy
(-16 + 2xy + x2 + -4y + 4y + y2) = 0

Combine like terms: -4y + 4y = 0
(-16 + 2xy + x2 + 0 + y2) = 0
(-16 + 2xy + x2 + y2) = 0

Solving
-16 + 2xy + x2 + y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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