X^2+4xy+4y^2+2x=10

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Solution for X^2+4xy+4y^2+2x=10 equation: 


Simplifying
X2 + 4xy + 4y2 + 2x = 10

Reorder the terms:
X2 + 2x + 4xy + 4y2 = 10

Solving
X2 + 2x + 4xy + 4y2 = 10

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X2 + 2x + 4xy + -2x + 4y2 = 10 + -2x

Reorder the terms:
X2 + 2x + -2x + 4xy + 4y2 = 10 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 4xy + 4y2 = 10 + -2x
X2 + 4xy + 4y2 = 10 + -2x

Add '-4xy' to each side of the equation.
X2 + 4xy + -4xy + 4y2 = 10 + -2x + -4xy

Combine like terms: 4xy + -4xy = 0
X2 + 0 + 4y2 = 10 + -2x + -4xy
X2 + 4y2 = 10 + -2x + -4xy

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 10 + -2x + -4xy + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 10 + -2x + -4xy + -4y2
X2 = 10 + -2x + -4xy + -4y2

Simplifying
X2 = 10 + -2x + -4xy + -4y2

Reorder the terms:
-10 + X2 + 2x + 4xy + 4y2 = 10 + -2x + -4xy + -4y2 + -10 + 2x + 4xy + 4y2

Reorder the terms:
-10 + X2 + 2x + 4xy + 4y2 = 10 + -10 + -2x + 2x + -4xy + 4xy + -4y2 + 4y2

Combine like terms: 10 + -10 = 0
-10 + X2 + 2x + 4xy + 4y2 = 0 + -2x + 2x + -4xy + 4xy + -4y2 + 4y2
-10 + X2 + 2x + 4xy + 4y2 = -2x + 2x + -4xy + 4xy + -4y2 + 4y2

Combine like terms: -2x + 2x = 0
-10 + X2 + 2x + 4xy + 4y2 = 0 + -4xy + 4xy + -4y2 + 4y2
-10 + X2 + 2x + 4xy + 4y2 = -4xy + 4xy + -4y2 + 4y2

Combine like terms: -4xy + 4xy = 0
-10 + X2 + 2x + 4xy + 4y2 = 0 + -4y2 + 4y2
-10 + X2 + 2x + 4xy + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-10 + X2 + 2x + 4xy + 4y2 = 0

The solution to this equation could not be determined.

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