X^2+y^2+3x-9y=-13

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Solution for X^2+y^2+3x-9y=-13 equation:


Simplifying
X2 + y2 + 3x + -9y = -13

Reorder the terms:
X2 + 3x + -9y + y2 = -13

Solving
X2 + 3x + -9y + y2 = -13

Solving for variable 'X'.

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

Add '-3x' to each side of the equation.
X2 + 3x + -9y + -3x + y2 = -13 + -3x

Reorder the terms:
X2 + 3x + -3x + -9y + y2 = -13 + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 + -9y + y2 = -13 + -3x
X2 + -9y + y2 = -13 + -3x

Add '9y' to each side of the equation.
X2 + -9y + 9y + y2 = -13 + -3x + 9y

Combine like terms: -9y + 9y = 0
X2 + 0 + y2 = -13 + -3x + 9y
X2 + y2 = -13 + -3x + 9y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -13 + -3x + 9y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -13 + -3x + 9y + -1y2
X2 = -13 + -3x + 9y + -1y2

Simplifying
X2 = -13 + -3x + 9y + -1y2

Reorder the terms:
13 + X2 + 3x + -9y + y2 = -13 + -3x + 9y + -1y2 + 13 + 3x + -9y + y2

Reorder the terms:
13 + X2 + 3x + -9y + y2 = -13 + 13 + -3x + 3x + 9y + -9y + -1y2 + y2

Combine like terms: -13 + 13 = 0
13 + X2 + 3x + -9y + y2 = 0 + -3x + 3x + 9y + -9y + -1y2 + y2
13 + X2 + 3x + -9y + y2 = -3x + 3x + 9y + -9y + -1y2 + y2

Combine like terms: -3x + 3x = 0
13 + X2 + 3x + -9y + y2 = 0 + 9y + -9y + -1y2 + y2
13 + X2 + 3x + -9y + y2 = 9y + -9y + -1y2 + y2

Combine like terms: 9y + -9y = 0
13 + X2 + 3x + -9y + y2 = 0 + -1y2 + y2
13 + X2 + 3x + -9y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
13 + X2 + 3x + -9y + y2 = 0

The solution to this equation could not be determined.

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