X^2-4x+4+6y+9=y^2+9

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


Simplifying
X2 + -4x + 4 + 6y + 9 = y2 + 9

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

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

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

Solving
13 + X2 + -4x + 6y = 9 + y2

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 + -4x + -13 + 6y = 9 + -13 + y2

Reorder the terms:
13 + -13 + X2 + -4x + 6y = 9 + -13 + y2

Combine like terms: 13 + -13 = 0
0 + X2 + -4x + 6y = 9 + -13 + y2
X2 + -4x + 6y = 9 + -13 + y2

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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