X^2+y^2+2xy=25

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Solution for X^2+y^2+2xy=25 equation:


Simplifying
X2 + y2 + 2xy = 25

Reorder the terms:
X2 + 2xy + y2 = 25

Solving
X2 + 2xy + y2 = 25

Solving for variable 'X'.

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

Add '-2xy' to each side of the equation.
X2 + 2xy + -2xy + y2 = 25 + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + y2 = 25 + -2xy
X2 + y2 = 25 + -2xy

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 25 + -2xy + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 25 + -2xy + -1y2
X2 = 25 + -2xy + -1y2

Simplifying
X2 = 25 + -2xy + -1y2

Reorder the terms:
-25 + X2 + 2xy + y2 = 25 + -2xy + -1y2 + -25 + 2xy + y2

Reorder the terms:
-25 + X2 + 2xy + y2 = 25 + -25 + -2xy + 2xy + -1y2 + y2

Combine like terms: 25 + -25 = 0
-25 + X2 + 2xy + y2 = 0 + -2xy + 2xy + -1y2 + y2
-25 + X2 + 2xy + y2 = -2xy + 2xy + -1y2 + y2

Combine like terms: -2xy + 2xy = 0
-25 + X2 + 2xy + y2 = 0 + -1y2 + y2
-25 + X2 + 2xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-25 + X2 + 2xy + y2 = 0

The solution to this equation could not be determined.

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