y^2-12y+x^2=-11

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Solution for y^2-12y+x^2=-11 equation:


Simplifying
y2 + -12y + x2 = -11

Reorder the terms:
x2 + -12y + y2 = -11

Solving
x2 + -12y + y2 = -11

Solving for variable 'x'.

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

Add '12y' to each side of the equation.
x2 + -12y + 12y + y2 = -11 + 12y

Combine like terms: -12y + 12y = 0
x2 + 0 + y2 = -11 + 12y
x2 + y2 = -11 + 12y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -11 + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -11 + 12y + -1y2
x2 = -11 + 12y + -1y2

Simplifying
x2 = -11 + 12y + -1y2

Reorder the terms:
11 + x2 + -12y + y2 = -11 + 12y + -1y2 + 11 + -12y + y2

Reorder the terms:
11 + x2 + -12y + y2 = -11 + 11 + 12y + -12y + -1y2 + y2

Combine like terms: -11 + 11 = 0
11 + x2 + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
11 + x2 + -12y + y2 = 12y + -12y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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