X^2+16x+y^2-2y+61=0

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Solution for X^2+16x+y^2-2y+61=0 equation:


Simplifying
X2 + 16x + y2 + -2y + 61 = 0

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

Solving
61 + X2 + 16x + -2y + y2 = 0

Solving for variable 'X'.

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

Add '-61' to each side of the equation.
61 + X2 + 16x + -2y + -61 + y2 = 0 + -61

Reorder the terms:
61 + -61 + X2 + 16x + -2y + y2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + X2 + 16x + -2y + y2 = 0 + -61
X2 + 16x + -2y + y2 = 0 + -61

Combine like terms: 0 + -61 = -61
X2 + 16x + -2y + y2 = -61

Add '-16x' to each side of the equation.
X2 + 16x + -2y + -16x + y2 = -61 + -16x

Reorder the terms:
X2 + 16x + -16x + -2y + y2 = -61 + -16x

Combine like terms: 16x + -16x = 0
X2 + 0 + -2y + y2 = -61 + -16x
X2 + -2y + y2 = -61 + -16x

Add '2y' to each side of the equation.
X2 + -2y + 2y + y2 = -61 + -16x + 2y

Combine like terms: -2y + 2y = 0
X2 + 0 + y2 = -61 + -16x + 2y
X2 + y2 = -61 + -16x + 2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -61 + -16x + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -61 + -16x + 2y + -1y2
X2 = -61 + -16x + 2y + -1y2

Simplifying
X2 = -61 + -16x + 2y + -1y2

Reorder the terms:
61 + X2 + 16x + -2y + y2 = -61 + -16x + 2y + -1y2 + 61 + 16x + -2y + y2

Reorder the terms:
61 + X2 + 16x + -2y + y2 = -61 + 61 + -16x + 16x + 2y + -2y + -1y2 + y2

Combine like terms: -61 + 61 = 0
61 + X2 + 16x + -2y + y2 = 0 + -16x + 16x + 2y + -2y + -1y2 + y2
61 + X2 + 16x + -2y + y2 = -16x + 16x + 2y + -2y + -1y2 + y2

Combine like terms: -16x + 16x = 0
61 + X2 + 16x + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
61 + X2 + 16x + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
61 + X2 + 16x + -2y + y2 = 0 + -1y2 + y2
61 + X2 + 16x + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
61 + X2 + 16x + -2y + y2 = 0

The solution to this equation could not be determined.

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