X^2+Y^2+8x+10y+41=9

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Solution for X^2+Y^2+8x+10y+41=9 equation: 


Simplifying
X2 + Y2 + 8x + 10y + 41 = 9

Reorder the terms:
41 + X2 + Y2 + 8x + 10y = 9

Solving
41 + X2 + Y2 + 8x + 10y = 9

Solving for variable 'X'.

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

Add '-41' to each side of the equation.
41 + X2 + Y2 + 8x + -41 + 10y = 9 + -41

Reorder the terms:
41 + -41 + X2 + Y2 + 8x + 10y = 9 + -41

Combine like terms: 41 + -41 = 0
0 + X2 + Y2 + 8x + 10y = 9 + -41
X2 + Y2 + 8x + 10y = 9 + -41

Combine like terms: 9 + -41 = -32
X2 + Y2 + 8x + 10y = -32

Add '-1Y2' to each side of the equation.
X2 + Y2 + 8x + -1Y2 + 10y = -32 + -1Y2

Reorder the terms:
X2 + Y2 + -1Y2 + 8x + 10y = -32 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
X2 + 0 + 8x + 10y = -32 + -1Y2
X2 + 8x + 10y = -32 + -1Y2

Add '-8x' to each side of the equation.
X2 + 8x + -8x + 10y = -32 + -1Y2 + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 + 10y = -32 + -1Y2 + -8x
X2 + 10y = -32 + -1Y2 + -8x

Add '-10y' to each side of the equation.
X2 + 10y + -10y = -32 + -1Y2 + -8x + -10y

Combine like terms: 10y + -10y = 0
X2 + 0 = -32 + -1Y2 + -8x + -10y
X2 = -32 + -1Y2 + -8x + -10y

Simplifying
X2 = -32 + -1Y2 + -8x + -10y

Reorder the terms:
32 + X2 + Y2 + 8x + 10y = -32 + -1Y2 + -8x + -10y + 32 + Y2 + 8x + 10y

Reorder the terms:
32 + X2 + Y2 + 8x + 10y = -32 + 32 + -1Y2 + Y2 + -8x + 8x + -10y + 10y

Combine like terms: -32 + 32 = 0
32 + X2 + Y2 + 8x + 10y = 0 + -1Y2 + Y2 + -8x + 8x + -10y + 10y
32 + X2 + Y2 + 8x + 10y = -1Y2 + Y2 + -8x + 8x + -10y + 10y

Combine like terms: -1Y2 + Y2 = 0
32 + X2 + Y2 + 8x + 10y = 0 + -8x + 8x + -10y + 10y
32 + X2 + Y2 + 8x + 10y = -8x + 8x + -10y + 10y

Combine like terms: -8x + 8x = 0
32 + X2 + Y2 + 8x + 10y = 0 + -10y + 10y
32 + X2 + Y2 + 8x + 10y = -10y + 10y

Combine like terms: -10y + 10y = 0
32 + X2 + Y2 + 8x + 10y = 0

The solution to this equation could not be determined.

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