X^2+y^2+2y+4=25

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Solution for X^2+y^2+2y+4=25 equation:


Simplifying
X2 + y2 + 2y + 4 = 25

Reorder the terms:
4 + X2 + 2y + y2 = 25

Solving
4 + X2 + 2y + y2 = 25

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 = 25 + -4

Reorder the terms:
4 + -4 + X2 + 2y + y2 = 25 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + 2y + y2 = 25 + -4
X2 + 2y + y2 = 25 + -4

Combine like terms: 25 + -4 = 21
X2 + 2y + y2 = 21

Add '-2y' to each side of the equation.
X2 + 2y + -2y + y2 = 21 + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 = 21 + -2y
X2 + y2 = 21 + -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 21 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 21 + -2y + -1y2
X2 = 21 + -2y + -1y2

Simplifying
X2 = 21 + -2y + -1y2

Reorder the terms:
-21 + X2 + 2y + y2 = 21 + -2y + -1y2 + -21 + 2y + y2

Reorder the terms:
-21 + X2 + 2y + y2 = 21 + -21 + -2y + 2y + -1y2 + y2

Combine like terms: 21 + -21 = 0
-21 + X2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-21 + X2 + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-21 + X2 + 2y + y2 = 0 + -1y2 + y2
-21 + X2 + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-21 + X2 + 2y + y2 = 0

The solution to this equation could not be determined.

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