X^2-4y^2-2x+16y-19=0

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Solution for X^2-4y^2-2x+16y-19=0 equation: 


Simplifying
X2 + -4y2 + -2x + 16y + -19 = 0

Reorder the terms:
-19 + X2 + -2x + 16y + -4y2 = 0

Solving
-19 + X2 + -2x + 16y + -4y2 = 0

Solving for variable 'X'.

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

Add '19' to each side of the equation.
-19 + X2 + -2x + 16y + 19 + -4y2 = 0 + 19

Reorder the terms:
-19 + 19 + X2 + -2x + 16y + -4y2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + X2 + -2x + 16y + -4y2 = 0 + 19
X2 + -2x + 16y + -4y2 = 0 + 19

Combine like terms: 0 + 19 = 19
X2 + -2x + 16y + -4y2 = 19

Add '2x' to each side of the equation.
X2 + -2x + 16y + 2x + -4y2 = 19 + 2x

Reorder the terms:
X2 + -2x + 2x + 16y + -4y2 = 19 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + 16y + -4y2 = 19 + 2x
X2 + 16y + -4y2 = 19 + 2x

Add '-16y' to each side of the equation.
X2 + 16y + -16y + -4y2 = 19 + 2x + -16y

Combine like terms: 16y + -16y = 0
X2 + 0 + -4y2 = 19 + 2x + -16y
X2 + -4y2 = 19 + 2x + -16y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 19 + 2x + -16y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 19 + 2x + -16y + 4y2
X2 = 19 + 2x + -16y + 4y2

Simplifying
X2 = 19 + 2x + -16y + 4y2

Reorder the terms:
-19 + X2 + -2x + 16y + -4y2 = 19 + 2x + -16y + 4y2 + -19 + -2x + 16y + -4y2

Reorder the terms:
-19 + X2 + -2x + 16y + -4y2 = 19 + -19 + 2x + -2x + -16y + 16y + 4y2 + -4y2

Combine like terms: 19 + -19 = 0
-19 + X2 + -2x + 16y + -4y2 = 0 + 2x + -2x + -16y + 16y + 4y2 + -4y2
-19 + X2 + -2x + 16y + -4y2 = 2x + -2x + -16y + 16y + 4y2 + -4y2

Combine like terms: 2x + -2x = 0
-19 + X2 + -2x + 16y + -4y2 = 0 + -16y + 16y + 4y2 + -4y2
-19 + X2 + -2x + 16y + -4y2 = -16y + 16y + 4y2 + -4y2

Combine like terms: -16y + 16y = 0
-19 + X2 + -2x + 16y + -4y2 = 0 + 4y2 + -4y2
-19 + X2 + -2x + 16y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-19 + X2 + -2x + 16y + -4y2 = 0

The solution to this equation could not be determined.

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