X^2+y^2+4y+3=16

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Solution for X^2+y^2+4y+3=16 equation:


Simplifying
X2 + y2 + 4y + 3 = 16

Reorder the terms:
3 + X2 + 4y + y2 = 16

Solving
3 + X2 + 4y + y2 = 16

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X2 + 4y + -3 + y2 = 16 + -3

Reorder the terms:
3 + -3 + X2 + 4y + y2 = 16 + -3

Combine like terms: 3 + -3 = 0
0 + X2 + 4y + y2 = 16 + -3
X2 + 4y + y2 = 16 + -3

Combine like terms: 16 + -3 = 13
X2 + 4y + y2 = 13

Add '-4y' to each side of the equation.
X2 + 4y + -4y + y2 = 13 + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + y2 = 13 + -4y
X2 + y2 = 13 + -4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 13 + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 13 + -4y + -1y2
X2 = 13 + -4y + -1y2

Simplifying
X2 = 13 + -4y + -1y2

Reorder the terms:
-13 + X2 + 4y + y2 = 13 + -4y + -1y2 + -13 + 4y + y2

Reorder the terms:
-13 + X2 + 4y + y2 = 13 + -13 + -4y + 4y + -1y2 + y2

Combine like terms: 13 + -13 = 0
-13 + X2 + 4y + y2 = 0 + -4y + 4y + -1y2 + y2
-13 + X2 + 4y + y2 = -4y + 4y + -1y2 + y2

Combine like terms: -4y + 4y = 0
-13 + X2 + 4y + y2 = 0 + -1y2 + y2
-13 + X2 + 4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-13 + X2 + 4y + y2 = 0

The solution to this equation could not be determined.

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