x^2+y^2-12y+42=0

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Solution for x^2+y^2-12y+42=0 equation:


Simplifying
x2 + y2 + -12y + 42 = 0

Reorder the terms:
42 + x2 + -12y + y2 = 0

Solving
42 + x2 + -12y + y2 = 0

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + x2 + -12y + -42 + y2 = 0 + -42

Reorder the terms:
42 + -42 + x2 + -12y + y2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + x2 + -12y + y2 = 0 + -42
x2 + -12y + y2 = 0 + -42

Combine like terms: 0 + -42 = -42
x2 + -12y + y2 = -42

Add '12y' to each side of the equation.
x2 + -12y + 12y + y2 = -42 + 12y

Combine like terms: -12y + 12y = 0
x2 + 0 + y2 = -42 + 12y
x2 + y2 = -42 + 12y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -42 + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -42 + 12y + -1y2
x2 = -42 + 12y + -1y2

Simplifying
x2 = -42 + 12y + -1y2

Reorder the terms:
42 + x2 + -12y + y2 = -42 + 12y + -1y2 + 42 + -12y + y2

Reorder the terms:
42 + x2 + -12y + y2 = -42 + 42 + 12y + -12y + -1y2 + y2

Combine like terms: -42 + 42 = 0
42 + x2 + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
42 + x2 + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
42 + x2 + -12y + y2 = 0 + -1y2 + y2
42 + x2 + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
42 + x2 + -12y + y2 = 0

The solution to this equation could not be determined.

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