(X^2+6x+9)+(y^2-4y+4)=36

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Solution for (X^2+6x+9)+(y^2-4y+4)=36 equation:


Simplifying
(X2 + 6x + 9) + (y2 + -4y + 4) = 36

Reorder the terms:
(9 + X2 + 6x) + (y2 + -4y + 4) = 36

Remove parenthesis around (9 + X2 + 6x)
9 + X2 + 6x + (y2 + -4y + 4) = 36

Reorder the terms:
9 + X2 + 6x + (4 + -4y + y2) = 36

Remove parenthesis around (4 + -4y + y2)
9 + X2 + 6x + 4 + -4y + y2 = 36

Reorder the terms:
9 + 4 + X2 + 6x + -4y + y2 = 36

Combine like terms: 9 + 4 = 13
13 + X2 + 6x + -4y + y2 = 36

Solving
13 + X2 + 6x + -4y + y2 = 36

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + 6x + -4y + -13 + y2 = 36 + -13

Reorder the terms:
13 + -13 + X2 + 6x + -4y + y2 = 36 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + 6x + -4y + y2 = 36 + -13
X2 + 6x + -4y + y2 = 36 + -13

Combine like terms: 36 + -13 = 23
X2 + 6x + -4y + y2 = 23

Add '-6x' to each side of the equation.
X2 + 6x + -4y + -6x + y2 = 23 + -6x

Reorder the terms:
X2 + 6x + -6x + -4y + y2 = 23 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + -4y + y2 = 23 + -6x
X2 + -4y + y2 = 23 + -6x

Add '4y' to each side of the equation.
X2 + -4y + 4y + y2 = 23 + -6x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + y2 = 23 + -6x + 4y
X2 + y2 = 23 + -6x + 4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 23 + -6x + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 23 + -6x + 4y + -1y2
X2 = 23 + -6x + 4y + -1y2

Simplifying
X2 = 23 + -6x + 4y + -1y2

Reorder the terms:
-23 + X2 + 6x + -4y + y2 = 23 + -6x + 4y + -1y2 + -23 + 6x + -4y + y2

Reorder the terms:
-23 + X2 + 6x + -4y + y2 = 23 + -23 + -6x + 6x + 4y + -4y + -1y2 + y2

Combine like terms: 23 + -23 = 0
-23 + X2 + 6x + -4y + y2 = 0 + -6x + 6x + 4y + -4y + -1y2 + y2
-23 + X2 + 6x + -4y + y2 = -6x + 6x + 4y + -4y + -1y2 + y2

Combine like terms: -6x + 6x = 0
-23 + X2 + 6x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-23 + X2 + 6x + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-23 + X2 + 6x + -4y + y2 = 0 + -1y2 + y2
-23 + X2 + 6x + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-23 + X2 + 6x + -4y + y2 = 0

The solution to this equation could not be determined.

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