x^2+y^2-10y+1=0

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Solution for x^2+y^2-10y+1=0 equation:


Simplifying
x2 + y2 + -10y + 1 = 0

Reorder the terms:
1 + x2 + -10y + y2 = 0

Solving
1 + x2 + -10y + y2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + x2 + -10y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + x2 + -10y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2 + -10y + y2 = 0 + -1
x2 + -10y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
x2 + -10y + y2 = -1

Add '10y' to each side of the equation.
x2 + -10y + 10y + y2 = -1 + 10y

Combine like terms: -10y + 10y = 0
x2 + 0 + y2 = -1 + 10y
x2 + y2 = -1 + 10y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -1 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -1 + 10y + -1y2
x2 = -1 + 10y + -1y2

Simplifying
x2 = -1 + 10y + -1y2

Reorder the terms:
1 + x2 + -10y + y2 = -1 + 10y + -1y2 + 1 + -10y + y2

Reorder the terms:
1 + x2 + -10y + y2 = -1 + 1 + 10y + -10y + -1y2 + y2

Combine like terms: -1 + 1 = 0
1 + x2 + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
1 + x2 + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
1 + x2 + -10y + y2 = 0 + -1y2 + y2
1 + x2 + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
1 + x2 + -10y + y2 = 0

The solution to this equation could not be determined.

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