X^2+y^2+6x+18y+90=60

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Solution for X^2+y^2+6x+18y+90=60 equation: 


Simplifying
X2 + y2 + 6x + 18y + 90 = 60

Reorder the terms:
90 + X2 + 6x + 18y + y2 = 60

Solving
90 + X2 + 6x + 18y + y2 = 60

Solving for variable 'X'.

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

Add '-90' to each side of the equation.
90 + X2 + 6x + 18y + -90 + y2 = 60 + -90

Reorder the terms:
90 + -90 + X2 + 6x + 18y + y2 = 60 + -90

Combine like terms: 90 + -90 = 0
0 + X2 + 6x + 18y + y2 = 60 + -90
X2 + 6x + 18y + y2 = 60 + -90

Combine like terms: 60 + -90 = -30
X2 + 6x + 18y + y2 = -30

Add '-6x' to each side of the equation.
X2 + 6x + 18y + -6x + y2 = -30 + -6x

Reorder the terms:
X2 + 6x + -6x + 18y + y2 = -30 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + 18y + y2 = -30 + -6x
X2 + 18y + y2 = -30 + -6x

Add '-18y' to each side of the equation.
X2 + 18y + -18y + y2 = -30 + -6x + -18y

Combine like terms: 18y + -18y = 0
X2 + 0 + y2 = -30 + -6x + -18y
X2 + y2 = -30 + -6x + -18y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -30 + -6x + -18y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -30 + -6x + -18y + -1y2
X2 = -30 + -6x + -18y + -1y2

Simplifying
X2 = -30 + -6x + -18y + -1y2

Reorder the terms:
30 + X2 + 6x + 18y + y2 = -30 + -6x + -18y + -1y2 + 30 + 6x + 18y + y2

Reorder the terms:
30 + X2 + 6x + 18y + y2 = -30 + 30 + -6x + 6x + -18y + 18y + -1y2 + y2

Combine like terms: -30 + 30 = 0
30 + X2 + 6x + 18y + y2 = 0 + -6x + 6x + -18y + 18y + -1y2 + y2
30 + X2 + 6x + 18y + y2 = -6x + 6x + -18y + 18y + -1y2 + y2

Combine like terms: -6x + 6x = 0
30 + X2 + 6x + 18y + y2 = 0 + -18y + 18y + -1y2 + y2
30 + X2 + 6x + 18y + y2 = -18y + 18y + -1y2 + y2

Combine like terms: -18y + 18y = 0
30 + X2 + 6x + 18y + y2 = 0 + -1y2 + y2
30 + X2 + 6x + 18y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
30 + X2 + 6x + 18y + y2 = 0

The solution to this equation could not be determined.

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