x^2+y^2+2y=8

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Solution for x^2+y^2+2y=8 equation:


Simplifying
x2 + y2 + 2y = 8

Reorder the terms:
x2 + 2y + y2 = 8

Solving
x2 + 2y + y2 = 8

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
x2 + 2y + -2y + y2 = 8 + -2y

Combine like terms: 2y + -2y = 0
x2 + 0 + y2 = 8 + -2y
x2 + y2 = 8 + -2y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 8 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 8 + -2y + -1y2
x2 = 8 + -2y + -1y2

Simplifying
x2 = 8 + -2y + -1y2

Reorder the terms:
-8 + x2 + 2y + y2 = 8 + -2y + -1y2 + -8 + 2y + y2

Reorder the terms:
-8 + x2 + 2y + y2 = 8 + -8 + -2y + 2y + -1y2 + y2

Combine like terms: 8 + -8 = 0
-8 + x2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-8 + x2 + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-8 + x2 + 2y + y2 = 0 + -1y2 + y2
-8 + x2 + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-8 + x2 + 2y + y2 = 0

The solution to this equation could not be determined.

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