X^2+9y^2+2x-18y+1=0

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Solution for X^2+9y^2+2x-18y+1=0 equation:


Simplifying
X2 + 9y2 + 2x + -18y + 1 = 0

Reorder the terms:
1 + X2 + 2x + -18y + 9y2 = 0

Solving
1 + X2 + 2x + -18y + 9y2 = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + 2x + -18y + -1 + 9y2 = 0 + -1

Reorder the terms:
1 + -1 + X2 + 2x + -18y + 9y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + 2x + -18y + 9y2 = 0 + -1
X2 + 2x + -18y + 9y2 = 0 + -1

Combine like terms: 0 + -1 = -1
X2 + 2x + -18y + 9y2 = -1

Add '-2x' to each side of the equation.
X2 + 2x + -18y + -2x + 9y2 = -1 + -2x

Reorder the terms:
X2 + 2x + -2x + -18y + 9y2 = -1 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -18y + 9y2 = -1 + -2x
X2 + -18y + 9y2 = -1 + -2x

Add '18y' to each side of the equation.
X2 + -18y + 18y + 9y2 = -1 + -2x + 18y

Combine like terms: -18y + 18y = 0
X2 + 0 + 9y2 = -1 + -2x + 18y
X2 + 9y2 = -1 + -2x + 18y

Add '-9y2' to each side of the equation.
X2 + 9y2 + -9y2 = -1 + -2x + 18y + -9y2

Combine like terms: 9y2 + -9y2 = 0
X2 + 0 = -1 + -2x + 18y + -9y2
X2 = -1 + -2x + 18y + -9y2

Simplifying
X2 = -1 + -2x + 18y + -9y2

Reorder the terms:
1 + X2 + 2x + -18y + 9y2 = -1 + -2x + 18y + -9y2 + 1 + 2x + -18y + 9y2

Reorder the terms:
1 + X2 + 2x + -18y + 9y2 = -1 + 1 + -2x + 2x + 18y + -18y + -9y2 + 9y2

Combine like terms: -1 + 1 = 0
1 + X2 + 2x + -18y + 9y2 = 0 + -2x + 2x + 18y + -18y + -9y2 + 9y2
1 + X2 + 2x + -18y + 9y2 = -2x + 2x + 18y + -18y + -9y2 + 9y2

Combine like terms: -2x + 2x = 0
1 + X2 + 2x + -18y + 9y2 = 0 + 18y + -18y + -9y2 + 9y2
1 + X2 + 2x + -18y + 9y2 = 18y + -18y + -9y2 + 9y2

Combine like terms: 18y + -18y = 0
1 + X2 + 2x + -18y + 9y2 = 0 + -9y2 + 9y2
1 + X2 + 2x + -18y + 9y2 = -9y2 + 9y2

Combine like terms: -9y2 + 9y2 = 0
1 + X2 + 2x + -18y + 9y2 = 0

The solution to this equation could not be determined.

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