x^2+y^2+6y-55=0

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Solution for x^2+y^2+6y-55=0 equation:


Simplifying
x2 + y2 + 6y + -55 = 0

Reorder the terms:
-55 + x2 + 6y + y2 = 0

Solving
-55 + x2 + 6y + y2 = 0

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + x2 + 6y + 55 + y2 = 0 + 55

Reorder the terms:
-55 + 55 + x2 + 6y + y2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + x2 + 6y + y2 = 0 + 55
x2 + 6y + y2 = 0 + 55

Combine like terms: 0 + 55 = 55
x2 + 6y + y2 = 55

Add '-6y' to each side of the equation.
x2 + 6y + -6y + y2 = 55 + -6y

Combine like terms: 6y + -6y = 0
x2 + 0 + y2 = 55 + -6y
x2 + y2 = 55 + -6y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 55 + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 55 + -6y + -1y2
x2 = 55 + -6y + -1y2

Simplifying
x2 = 55 + -6y + -1y2

Reorder the terms:
-55 + x2 + 6y + y2 = 55 + -6y + -1y2 + -55 + 6y + y2

Reorder the terms:
-55 + x2 + 6y + y2 = 55 + -55 + -6y + 6y + -1y2 + y2

Combine like terms: 55 + -55 = 0
-55 + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2
-55 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2

Combine like terms: -6y + 6y = 0
-55 + x2 + 6y + y2 = 0 + -1y2 + y2
-55 + x2 + 6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-55 + x2 + 6y + y2 = 0

The solution to this equation could not be determined.

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