x^2-4+y^2-2y=14

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Solution for x^2-4+y^2-2y=14 equation:


Simplifying
x2 + -4 + y2 + -2y = 14

Reorder the terms:
-4 + x2 + -2y + y2 = 14

Solving
-4 + x2 + -2y + y2 = 14

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + x2 + -2y + 4 + y2 = 14 + 4

Reorder the terms:
-4 + 4 + x2 + -2y + y2 = 14 + 4

Combine like terms: -4 + 4 = 0
0 + x2 + -2y + y2 = 14 + 4
x2 + -2y + y2 = 14 + 4

Combine like terms: 14 + 4 = 18
x2 + -2y + y2 = 18

Add '2y' to each side of the equation.
x2 + -2y + 2y + y2 = 18 + 2y

Combine like terms: -2y + 2y = 0
x2 + 0 + y2 = 18 + 2y
x2 + y2 = 18 + 2y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 18 + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 18 + 2y + -1y2
x2 = 18 + 2y + -1y2

Simplifying
x2 = 18 + 2y + -1y2

Reorder the terms:
-18 + x2 + -2y + y2 = 18 + 2y + -1y2 + -18 + -2y + y2

Reorder the terms:
-18 + x2 + -2y + y2 = 18 + -18 + 2y + -2y + -1y2 + y2

Combine like terms: 18 + -18 = 0
-18 + x2 + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
-18 + x2 + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
-18 + x2 + -2y + y2 = 0 + -1y2 + y2
-18 + x2 + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-18 + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

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