x^2+Y^2-10x+16y+85=0

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Solution for x^2+Y^2-10x+16y+85=0 equation: 


Simplifying
x2 + Y2 + -10x + 16y + 85 = 0

Reorder the terms:
85 + Y2 + -10x + x2 + 16y = 0

Solving
85 + Y2 + -10x + x2 + 16y = 0

Solving for variable 'Y'.

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

Add '-85' to each side of the equation.
85 + Y2 + -10x + x2 + -85 + 16y = 0 + -85

Reorder the terms:
85 + -85 + Y2 + -10x + x2 + 16y = 0 + -85

Combine like terms: 85 + -85 = 0
0 + Y2 + -10x + x2 + 16y = 0 + -85
Y2 + -10x + x2 + 16y = 0 + -85

Combine like terms: 0 + -85 = -85
Y2 + -10x + x2 + 16y = -85

Add '10x' to each side of the equation.
Y2 + -10x + x2 + 10x + 16y = -85 + 10x

Reorder the terms:
Y2 + -10x + 10x + x2 + 16y = -85 + 10x

Combine like terms: -10x + 10x = 0
Y2 + 0 + x2 + 16y = -85 + 10x
Y2 + x2 + 16y = -85 + 10x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + 16y = -85 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + 16y = -85 + 10x + -1x2
Y2 + 16y = -85 + 10x + -1x2

Add '-16y' to each side of the equation.
Y2 + 16y + -16y = -85 + 10x + -1x2 + -16y

Combine like terms: 16y + -16y = 0
Y2 + 0 = -85 + 10x + -1x2 + -16y
Y2 = -85 + 10x + -1x2 + -16y

Simplifying
Y2 = -85 + 10x + -1x2 + -16y

Reorder the terms:
85 + Y2 + -10x + x2 + 16y = -85 + 10x + -1x2 + -16y + 85 + -10x + x2 + 16y

Reorder the terms:
85 + Y2 + -10x + x2 + 16y = -85 + 85 + 10x + -10x + -1x2 + x2 + -16y + 16y

Combine like terms: -85 + 85 = 0
85 + Y2 + -10x + x2 + 16y = 0 + 10x + -10x + -1x2 + x2 + -16y + 16y
85 + Y2 + -10x + x2 + 16y = 10x + -10x + -1x2 + x2 + -16y + 16y

Combine like terms: 10x + -10x = 0
85 + Y2 + -10x + x2 + 16y = 0 + -1x2 + x2 + -16y + 16y
85 + Y2 + -10x + x2 + 16y = -1x2 + x2 + -16y + 16y

Combine like terms: -1x2 + x2 = 0
85 + Y2 + -10x + x2 + 16y = 0 + -16y + 16y
85 + Y2 + -10x + x2 + 16y = -16y + 16y

Combine like terms: -16y + 16y = 0
85 + Y2 + -10x + x2 + 16y = 0

The solution to this equation could not be determined.

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