X^2+16x+y^2-12y=144

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Solution for X^2+16x+y^2-12y=144 equation: 


Simplifying
X2 + 16x + y2 + -12y = 144

Reorder the terms:
X2 + 16x + -12y + y2 = 144

Solving
X2 + 16x + -12y + y2 = 144

Solving for variable 'X'.

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

Add '-16x' to each side of the equation.
X2 + 16x + -12y + -16x + y2 = 144 + -16x

Reorder the terms:
X2 + 16x + -16x + -12y + y2 = 144 + -16x

Combine like terms: 16x + -16x = 0
X2 + 0 + -12y + y2 = 144 + -16x
X2 + -12y + y2 = 144 + -16x

Add '12y' to each side of the equation.
X2 + -12y + 12y + y2 = 144 + -16x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + y2 = 144 + -16x + 12y
X2 + y2 = 144 + -16x + 12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 144 + -16x + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 144 + -16x + 12y + -1y2
X2 = 144 + -16x + 12y + -1y2

Simplifying
X2 = 144 + -16x + 12y + -1y2

Reorder the terms:
-144 + X2 + 16x + -12y + y2 = 144 + -16x + 12y + -1y2 + -144 + 16x + -12y + y2

Reorder the terms:
-144 + X2 + 16x + -12y + y2 = 144 + -144 + -16x + 16x + 12y + -12y + -1y2 + y2

Combine like terms: 144 + -144 = 0
-144 + X2 + 16x + -12y + y2 = 0 + -16x + 16x + 12y + -12y + -1y2 + y2
-144 + X2 + 16x + -12y + y2 = -16x + 16x + 12y + -12y + -1y2 + y2

Combine like terms: -16x + 16x = 0
-144 + X2 + 16x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
-144 + X2 + 16x + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
-144 + X2 + 16x + -12y + y2 = 0 + -1y2 + y2
-144 + X2 + 16x + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-144 + X2 + 16x + -12y + y2 = 0

The solution to this equation could not be determined.

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