x^2-Y^2-6x-4y+13-36=0

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Solution for x^2-Y^2-6x-4y+13-36=0 equation:


Simplifying
x2 + -1Y2 + -6x + -4y + 13 + -36 = 0

Reorder the terms:
13 + -36 + -1Y2 + -6x + x2 + -4y = 0

Combine like terms: 13 + -36 = -23
-23 + -1Y2 + -6x + x2 + -4y = 0

Solving
-23 + -1Y2 + -6x + x2 + -4y = 0

Solving for variable 'Y'.

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

Add '23' to each side of the equation.
-23 + -1Y2 + -6x + x2 + 23 + -4y = 0 + 23

Reorder the terms:
-23 + 23 + -1Y2 + -6x + x2 + -4y = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1Y2 + -6x + x2 + -4y = 0 + 23
-1Y2 + -6x + x2 + -4y = 0 + 23

Combine like terms: 0 + 23 = 23
-1Y2 + -6x + x2 + -4y = 23

Add '6x' to each side of the equation.
-1Y2 + -6x + x2 + 6x + -4y = 23 + 6x

Reorder the terms:
-1Y2 + -6x + 6x + x2 + -4y = 23 + 6x

Combine like terms: -6x + 6x = 0
-1Y2 + 0 + x2 + -4y = 23 + 6x
-1Y2 + x2 + -4y = 23 + 6x

Add '-1x2' to each side of the equation.
-1Y2 + x2 + -1x2 + -4y = 23 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
-1Y2 + 0 + -4y = 23 + 6x + -1x2
-1Y2 + -4y = 23 + 6x + -1x2

Add '4y' to each side of the equation.
-1Y2 + -4y + 4y = 23 + 6x + -1x2 + 4y

Combine like terms: -4y + 4y = 0
-1Y2 + 0 = 23 + 6x + -1x2 + 4y
-1Y2 = 23 + 6x + -1x2 + 4y

Divide each side by '-1'.
Y2 = -23 + -6x + x2 + -4y

Simplifying
Y2 = -23 + -6x + x2 + -4y

Reorder the terms:
23 + Y2 + 6x + -1x2 + 4y = -23 + -6x + x2 + -4y + 23 + 6x + -1x2 + 4y

Reorder the terms:
23 + Y2 + 6x + -1x2 + 4y = -23 + 23 + -6x + 6x + x2 + -1x2 + -4y + 4y

Combine like terms: -23 + 23 = 0
23 + Y2 + 6x + -1x2 + 4y = 0 + -6x + 6x + x2 + -1x2 + -4y + 4y
23 + Y2 + 6x + -1x2 + 4y = -6x + 6x + x2 + -1x2 + -4y + 4y

Combine like terms: -6x + 6x = 0
23 + Y2 + 6x + -1x2 + 4y = 0 + x2 + -1x2 + -4y + 4y
23 + Y2 + 6x + -1x2 + 4y = x2 + -1x2 + -4y + 4y

Combine like terms: x2 + -1x2 = 0
23 + Y2 + 6x + -1x2 + 4y = 0 + -4y + 4y
23 + Y2 + 6x + -1x2 + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
23 + Y2 + 6x + -1x2 + 4y = 0

The solution to this equation could not be determined.

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