x^2+y^2-16y-13=0

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Solution for x^2+y^2-16y-13=0 equation:


Simplifying
x2 + y2 + -16y + -13 = 0

Reorder the terms:
-13 + x2 + -16y + y2 = 0

Solving
-13 + x2 + -16y + y2 = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + x2 + -16y + 13 + y2 = 0 + 13

Reorder the terms:
-13 + 13 + x2 + -16y + y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x2 + -16y + y2 = 0 + 13
x2 + -16y + y2 = 0 + 13

Combine like terms: 0 + 13 = 13
x2 + -16y + y2 = 13

Add '16y' to each side of the equation.
x2 + -16y + 16y + y2 = 13 + 16y

Combine like terms: -16y + 16y = 0
x2 + 0 + y2 = 13 + 16y
x2 + y2 = 13 + 16y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 13 + 16y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 13 + 16y + -1y2
x2 = 13 + 16y + -1y2

Simplifying
x2 = 13 + 16y + -1y2

Reorder the terms:
-13 + x2 + -16y + y2 = 13 + 16y + -1y2 + -13 + -16y + y2

Reorder the terms:
-13 + x2 + -16y + y2 = 13 + -13 + 16y + -16y + -1y2 + y2

Combine like terms: 13 + -13 = 0
-13 + x2 + -16y + y2 = 0 + 16y + -16y + -1y2 + y2
-13 + x2 + -16y + y2 = 16y + -16y + -1y2 + y2

Combine like terms: 16y + -16y = 0
-13 + x2 + -16y + y2 = 0 + -1y2 + y2
-13 + x2 + -16y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-13 + x2 + -16y + y2 = 0

The solution to this equation could not be determined.

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