X^2+y^2-16x+20y+124=0

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Solution for X^2+y^2-16x+20y+124=0 equation:


Simplifying
X2 + y2 + -16x + 20y + 124 = 0

Reorder the terms:
124 + X2 + -16x + 20y + y2 = 0

Solving
124 + X2 + -16x + 20y + y2 = 0

Solving for variable 'X'.

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

Add '-124' to each side of the equation.
124 + X2 + -16x + 20y + -124 + y2 = 0 + -124

Reorder the terms:
124 + -124 + X2 + -16x + 20y + y2 = 0 + -124

Combine like terms: 124 + -124 = 0
0 + X2 + -16x + 20y + y2 = 0 + -124
X2 + -16x + 20y + y2 = 0 + -124

Combine like terms: 0 + -124 = -124
X2 + -16x + 20y + y2 = -124

Add '16x' to each side of the equation.
X2 + -16x + 20y + 16x + y2 = -124 + 16x

Reorder the terms:
X2 + -16x + 16x + 20y + y2 = -124 + 16x

Combine like terms: -16x + 16x = 0
X2 + 0 + 20y + y2 = -124 + 16x
X2 + 20y + y2 = -124 + 16x

Add '-20y' to each side of the equation.
X2 + 20y + -20y + y2 = -124 + 16x + -20y

Combine like terms: 20y + -20y = 0
X2 + 0 + y2 = -124 + 16x + -20y
X2 + y2 = -124 + 16x + -20y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -124 + 16x + -20y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -124 + 16x + -20y + -1y2
X2 = -124 + 16x + -20y + -1y2

Simplifying
X2 = -124 + 16x + -20y + -1y2

Reorder the terms:
124 + X2 + -16x + 20y + y2 = -124 + 16x + -20y + -1y2 + 124 + -16x + 20y + y2

Reorder the terms:
124 + X2 + -16x + 20y + y2 = -124 + 124 + 16x + -16x + -20y + 20y + -1y2 + y2

Combine like terms: -124 + 124 = 0
124 + X2 + -16x + 20y + y2 = 0 + 16x + -16x + -20y + 20y + -1y2 + y2
124 + X2 + -16x + 20y + y2 = 16x + -16x + -20y + 20y + -1y2 + y2

Combine like terms: 16x + -16x = 0
124 + X2 + -16x + 20y + y2 = 0 + -20y + 20y + -1y2 + y2
124 + X2 + -16x + 20y + y2 = -20y + 20y + -1y2 + y2

Combine like terms: -20y + 20y = 0
124 + X2 + -16x + 20y + y2 = 0 + -1y2 + y2
124 + X2 + -16x + 20y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
124 + X2 + -16x + 20y + y2 = 0

The solution to this equation could not be determined.

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