X^2-4x+5+y^2=16

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Solution for X^2-4x+5+y^2=16 equation:


Simplifying
X2 + -4x + 5 + y2 = 16

Reorder the terms:
5 + X2 + -4x + y2 = 16

Solving
5 + X2 + -4x + y2 = 16

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + -4x + -5 + y2 = 16 + -5

Reorder the terms:
5 + -5 + X2 + -4x + y2 = 16 + -5

Combine like terms: 5 + -5 = 0
0 + X2 + -4x + y2 = 16 + -5
X2 + -4x + y2 = 16 + -5

Combine like terms: 16 + -5 = 11
X2 + -4x + y2 = 11

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

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

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 11 + 4x + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 11 + 4x + -1y2
X2 = 11 + 4x + -1y2

Simplifying
X2 = 11 + 4x + -1y2

Reorder the terms:
-11 + X2 + -4x + y2 = 11 + 4x + -1y2 + -11 + -4x + y2

Reorder the terms:
-11 + X2 + -4x + y2 = 11 + -11 + 4x + -4x + -1y2 + y2

Combine like terms: 11 + -11 = 0
-11 + X2 + -4x + y2 = 0 + 4x + -4x + -1y2 + y2
-11 + X2 + -4x + y2 = 4x + -4x + -1y2 + y2

Combine like terms: 4x + -4x = 0
-11 + X2 + -4x + y2 = 0 + -1y2 + y2
-11 + X2 + -4x + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-11 + X2 + -4x + y2 = 0

The solution to this equation could not be determined.

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