X^2+y^2-12x+10y=-25

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Solution for X^2+y^2-12x+10y=-25 equation:


Simplifying
X2 + y2 + -12x + 10y = -25

Reorder the terms:
X2 + -12x + 10y + y2 = -25

Solving
X2 + -12x + 10y + y2 = -25

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
X2 + -12x + 10y + 12x + y2 = -25 + 12x

Reorder the terms:
X2 + -12x + 12x + 10y + y2 = -25 + 12x

Combine like terms: -12x + 12x = 0
X2 + 0 + 10y + y2 = -25 + 12x
X2 + 10y + y2 = -25 + 12x

Add '-10y' to each side of the equation.
X2 + 10y + -10y + y2 = -25 + 12x + -10y

Combine like terms: 10y + -10y = 0
X2 + 0 + y2 = -25 + 12x + -10y
X2 + y2 = -25 + 12x + -10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -25 + 12x + -10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -25 + 12x + -10y + -1y2
X2 = -25 + 12x + -10y + -1y2

Simplifying
X2 = -25 + 12x + -10y + -1y2

Reorder the terms:
25 + X2 + -12x + 10y + y2 = -25 + 12x + -10y + -1y2 + 25 + -12x + 10y + y2

Reorder the terms:
25 + X2 + -12x + 10y + y2 = -25 + 25 + 12x + -12x + -10y + 10y + -1y2 + y2

Combine like terms: -25 + 25 = 0
25 + X2 + -12x + 10y + y2 = 0 + 12x + -12x + -10y + 10y + -1y2 + y2
25 + X2 + -12x + 10y + y2 = 12x + -12x + -10y + 10y + -1y2 + y2

Combine like terms: 12x + -12x = 0
25 + X2 + -12x + 10y + y2 = 0 + -10y + 10y + -1y2 + y2
25 + X2 + -12x + 10y + y2 = -10y + 10y + -1y2 + y2

Combine like terms: -10y + 10y = 0
25 + X2 + -12x + 10y + y2 = 0 + -1y2 + y2
25 + X2 + -12x + 10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
25 + X2 + -12x + 10y + y2 = 0

The solution to this equation could not be determined.

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