x^2+y^2-10y+25=16

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Solution for x^2+y^2-10y+25=16 equation: 


Simplifying
x2 + y2 + -10y + 25 = 16

Reorder the terms:
25 + x2 + -10y + y2 = 16

Solving
25 + x2 + -10y + y2 = 16

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + x2 + -10y + -25 + y2 = 16 + -25

Reorder the terms:
25 + -25 + x2 + -10y + y2 = 16 + -25

Combine like terms: 25 + -25 = 0
0 + x2 + -10y + y2 = 16 + -25
x2 + -10y + y2 = 16 + -25

Combine like terms: 16 + -25 = -9
x2 + -10y + y2 = -9

Add '10y' to each side of the equation.
x2 + -10y + 10y + y2 = -9 + 10y

Combine like terms: -10y + 10y = 0
x2 + 0 + y2 = -9 + 10y
x2 + y2 = -9 + 10y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -9 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -9 + 10y + -1y2
x2 = -9 + 10y + -1y2

Simplifying
x2 = -9 + 10y + -1y2

Reorder the terms:
9 + x2 + -10y + y2 = -9 + 10y + -1y2 + 9 + -10y + y2

Reorder the terms:
9 + x2 + -10y + y2 = -9 + 9 + 10y + -10y + -1y2 + y2

Combine like terms: -9 + 9 = 0
9 + x2 + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
9 + x2 + -10y + y2 = 10y + -10y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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