X^2+8xy+y^2=24

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Solution for X^2+8xy+y^2=24 equation:


Simplifying
X2 + 8xy + y2 = 24

Solving
X2 + 8xy + y2 = 24

Solving for variable 'X'.

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

Add '-8xy' to each side of the equation.
X2 + 8xy + -8xy + y2 = 24 + -8xy

Combine like terms: 8xy + -8xy = 0
X2 + 0 + y2 = 24 + -8xy
X2 + y2 = 24 + -8xy

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 24 + -8xy + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 24 + -8xy + -1y2
X2 = 24 + -8xy + -1y2

Simplifying
X2 = 24 + -8xy + -1y2

Reorder the terms:
-24 + X2 + 8xy + y2 = 24 + -8xy + -1y2 + -24 + 8xy + y2

Reorder the terms:
-24 + X2 + 8xy + y2 = 24 + -24 + -8xy + 8xy + -1y2 + y2

Combine like terms: 24 + -24 = 0
-24 + X2 + 8xy + y2 = 0 + -8xy + 8xy + -1y2 + y2
-24 + X2 + 8xy + y2 = -8xy + 8xy + -1y2 + y2

Combine like terms: -8xy + 8xy = 0
-24 + X2 + 8xy + y2 = 0 + -1y2 + y2
-24 + X2 + 8xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-24 + X2 + 8xy + y2 = 0

The solution to this equation could not be determined.

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