x^2+y^2+6y=16

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Solution for x^2+y^2+6y=16 equation: 


Simplifying
x2 + y2 + 6y = 16

Reorder the terms:
x2 + 6y + y2 = 16

Solving
x2 + 6y + y2 = 16

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
x2 + 6y + -6y + y2 = 16 + -6y

Combine like terms: 6y + -6y = 0
x2 + 0 + y2 = 16 + -6y
x2 + y2 = 16 + -6y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 16 + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 16 + -6y + -1y2
x2 = 16 + -6y + -1y2

Simplifying
x2 = 16 + -6y + -1y2

Reorder the terms:
-16 + x2 + 6y + y2 = 16 + -6y + -1y2 + -16 + 6y + y2

Reorder the terms:
-16 + x2 + 6y + y2 = 16 + -16 + -6y + 6y + -1y2 + y2

Combine like terms: 16 + -16 = 0
-16 + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2
-16 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2

Combine like terms: -6y + 6y = 0
-16 + x2 + 6y + y2 = 0 + -1y2 + y2
-16 + x2 + 6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-16 + x2 + 6y + y2 = 0

The solution to this equation could not be determined.

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