x^2+y^2-24y+108=0

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Solution for x^2+y^2-24y+108=0 equation:


Simplifying
x2 + y2 + -24y + 108 = 0

Reorder the terms:
108 + x2 + -24y + y2 = 0

Solving
108 + x2 + -24y + y2 = 0

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + x2 + -24y + -108 + y2 = 0 + -108

Reorder the terms:
108 + -108 + x2 + -24y + y2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + x2 + -24y + y2 = 0 + -108
x2 + -24y + y2 = 0 + -108

Combine like terms: 0 + -108 = -108
x2 + -24y + y2 = -108

Add '24y' to each side of the equation.
x2 + -24y + 24y + y2 = -108 + 24y

Combine like terms: -24y + 24y = 0
x2 + 0 + y2 = -108 + 24y
x2 + y2 = -108 + 24y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -108 + 24y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -108 + 24y + -1y2
x2 = -108 + 24y + -1y2

Simplifying
x2 = -108 + 24y + -1y2

Reorder the terms:
108 + x2 + -24y + y2 = -108 + 24y + -1y2 + 108 + -24y + y2

Reorder the terms:
108 + x2 + -24y + y2 = -108 + 108 + 24y + -24y + -1y2 + y2

Combine like terms: -108 + 108 = 0
108 + x2 + -24y + y2 = 0 + 24y + -24y + -1y2 + y2
108 + x2 + -24y + y2 = 24y + -24y + -1y2 + y2

Combine like terms: 24y + -24y = 0
108 + x2 + -24y + y2 = 0 + -1y2 + y2
108 + x2 + -24y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
108 + x2 + -24y + y2 = 0

The solution to this equation could not be determined.

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