X^2+4x+Y^2+6y=20

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Solution for X^2+4x+Y^2+6y=20 equation: 


Simplifying
X2 + 4x + Y2 + 6y = 20

Reorder the terms:
X2 + Y2 + 4x + 6y = 20

Solving
X2 + Y2 + 4x + 6y = 20

Solving for variable 'X'.

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

Add '-1Y2' to each side of the equation.
X2 + Y2 + 4x + -1Y2 + 6y = 20 + -1Y2

Reorder the terms:
X2 + Y2 + -1Y2 + 4x + 6y = 20 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
X2 + 0 + 4x + 6y = 20 + -1Y2
X2 + 4x + 6y = 20 + -1Y2

Add '-4x' to each side of the equation.
X2 + 4x + -4x + 6y = 20 + -1Y2 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 6y = 20 + -1Y2 + -4x
X2 + 6y = 20 + -1Y2 + -4x

Add '-6y' to each side of the equation.
X2 + 6y + -6y = 20 + -1Y2 + -4x + -6y

Combine like terms: 6y + -6y = 0
X2 + 0 = 20 + -1Y2 + -4x + -6y
X2 = 20 + -1Y2 + -4x + -6y

Simplifying
X2 = 20 + -1Y2 + -4x + -6y

Reorder the terms:
-20 + X2 + Y2 + 4x + 6y = 20 + -1Y2 + -4x + -6y + -20 + Y2 + 4x + 6y

Reorder the terms:
-20 + X2 + Y2 + 4x + 6y = 20 + -20 + -1Y2 + Y2 + -4x + 4x + -6y + 6y

Combine like terms: 20 + -20 = 0
-20 + X2 + Y2 + 4x + 6y = 0 + -1Y2 + Y2 + -4x + 4x + -6y + 6y
-20 + X2 + Y2 + 4x + 6y = -1Y2 + Y2 + -4x + 4x + -6y + 6y

Combine like terms: -1Y2 + Y2 = 0
-20 + X2 + Y2 + 4x + 6y = 0 + -4x + 4x + -6y + 6y
-20 + X2 + Y2 + 4x + 6y = -4x + 4x + -6y + 6y

Combine like terms: -4x + 4x = 0
-20 + X2 + Y2 + 4x + 6y = 0 + -6y + 6y
-20 + X2 + Y2 + 4x + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-20 + X2 + Y2 + 4x + 6y = 0

The solution to this equation could not be determined.

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