x^2+y^2-10y-39=0

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Solution for x^2+y^2-10y-39=0 equation:


Simplifying
x2 + y2 + -10y + -39 = 0

Reorder the terms:
-39 + x2 + -10y + y2 = 0

Solving
-39 + x2 + -10y + y2 = 0

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + x2 + -10y + 39 + y2 = 0 + 39

Reorder the terms:
-39 + 39 + x2 + -10y + y2 = 0 + 39

Combine like terms: -39 + 39 = 0
0 + x2 + -10y + y2 = 0 + 39
x2 + -10y + y2 = 0 + 39

Combine like terms: 0 + 39 = 39
x2 + -10y + y2 = 39

Add '10y' to each side of the equation.
x2 + -10y + 10y + y2 = 39 + 10y

Combine like terms: -10y + 10y = 0
x2 + 0 + y2 = 39 + 10y
x2 + y2 = 39 + 10y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 39 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 39 + 10y + -1y2
x2 = 39 + 10y + -1y2

Simplifying
x2 = 39 + 10y + -1y2

Reorder the terms:
-39 + x2 + -10y + y2 = 39 + 10y + -1y2 + -39 + -10y + y2

Reorder the terms:
-39 + x2 + -10y + y2 = 39 + -39 + 10y + -10y + -1y2 + y2

Combine like terms: 39 + -39 = 0
-39 + x2 + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
-39 + x2 + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
-39 + x2 + -10y + y2 = 0 + -1y2 + y2
-39 + x2 + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-39 + x2 + -10y + y2 = 0

The solution to this equation could not be determined.

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