X^2+4y^2+6x+16y=11

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Solution for X^2+4y^2+6x+16y=11 equation: 


Simplifying
X2 + 4y2 + 6x + 16y = 11

Reorder the terms:
X2 + 6x + 16y + 4y2 = 11

Solving
X2 + 6x + 16y + 4y2 = 11

Solving for variable 'X'.

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

Add '-6x' to each side of the equation.
X2 + 6x + 16y + -6x + 4y2 = 11 + -6x

Reorder the terms:
X2 + 6x + -6x + 16y + 4y2 = 11 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + 16y + 4y2 = 11 + -6x
X2 + 16y + 4y2 = 11 + -6x

Add '-16y' to each side of the equation.
X2 + 16y + -16y + 4y2 = 11 + -6x + -16y

Combine like terms: 16y + -16y = 0
X2 + 0 + 4y2 = 11 + -6x + -16y
X2 + 4y2 = 11 + -6x + -16y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 11 + -6x + -16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 11 + -6x + -16y + -4y2
X2 = 11 + -6x + -16y + -4y2

Simplifying
X2 = 11 + -6x + -16y + -4y2

Reorder the terms:
-11 + X2 + 6x + 16y + 4y2 = 11 + -6x + -16y + -4y2 + -11 + 6x + 16y + 4y2

Reorder the terms:
-11 + X2 + 6x + 16y + 4y2 = 11 + -11 + -6x + 6x + -16y + 16y + -4y2 + 4y2

Combine like terms: 11 + -11 = 0
-11 + X2 + 6x + 16y + 4y2 = 0 + -6x + 6x + -16y + 16y + -4y2 + 4y2
-11 + X2 + 6x + 16y + 4y2 = -6x + 6x + -16y + 16y + -4y2 + 4y2

Combine like terms: -6x + 6x = 0
-11 + X2 + 6x + 16y + 4y2 = 0 + -16y + 16y + -4y2 + 4y2
-11 + X2 + 6x + 16y + 4y2 = -16y + 16y + -4y2 + 4y2

Combine like terms: -16y + 16y = 0
-11 + X2 + 6x + 16y + 4y2 = 0 + -4y2 + 4y2
-11 + X2 + 6x + 16y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-11 + X2 + 6x + 16y + 4y2 = 0

The solution to this equation could not be determined.

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