X^2-6x+y^2+18y=19

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Solution for X^2-6x+y^2+18y=19 equation:


Simplifying
X2 + -6x + y2 + 18y = 19

Reorder the terms:
X2 + -6x + 18y + y2 = 19

Solving
X2 + -6x + 18y + y2 = 19

Solving for variable 'X'.

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

Add '6x' to each side of the equation.
X2 + -6x + 18y + 6x + y2 = 19 + 6x

Reorder the terms:
X2 + -6x + 6x + 18y + y2 = 19 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + 18y + y2 = 19 + 6x
X2 + 18y + y2 = 19 + 6x

Add '-18y' to each side of the equation.
X2 + 18y + -18y + y2 = 19 + 6x + -18y

Combine like terms: 18y + -18y = 0
X2 + 0 + y2 = 19 + 6x + -18y
X2 + y2 = 19 + 6x + -18y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 19 + 6x + -18y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 19 + 6x + -18y + -1y2
X2 = 19 + 6x + -18y + -1y2

Simplifying
X2 = 19 + 6x + -18y + -1y2

Reorder the terms:
-19 + X2 + -6x + 18y + y2 = 19 + 6x + -18y + -1y2 + -19 + -6x + 18y + y2

Reorder the terms:
-19 + X2 + -6x + 18y + y2 = 19 + -19 + 6x + -6x + -18y + 18y + -1y2 + y2

Combine like terms: 19 + -19 = 0
-19 + X2 + -6x + 18y + y2 = 0 + 6x + -6x + -18y + 18y + -1y2 + y2
-19 + X2 + -6x + 18y + y2 = 6x + -6x + -18y + 18y + -1y2 + y2

Combine like terms: 6x + -6x = 0
-19 + X2 + -6x + 18y + y2 = 0 + -18y + 18y + -1y2 + y2
-19 + X2 + -6x + 18y + y2 = -18y + 18y + -1y2 + y2

Combine like terms: -18y + 18y = 0
-19 + X2 + -6x + 18y + y2 = 0 + -1y2 + y2
-19 + X2 + -6x + 18y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-19 + X2 + -6x + 18y + y2 = 0

The solution to this equation could not be determined.

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