X2 + y2 + -2x + 4y + -6 = 0

Reorder the terms:

-6 + X2 + -2x + 4y + y2 = 0

Solving

-6 + X2 + -2x + 4y + y2 = 0

Solving for variable ‘X’.

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

Add ‘6’ to each side of the equation.

-6 + X2 + -2x + 4y + 6 + y2 = 0 + 6

Reorder the terms:

-6 + 6 + X2 + -2x + 4y + y2 = 0 + 6

Combine like terms: -6 + 6 = 0

0 + X2 + -2x + 4y + y2 = 0 + 6

X2 + -2x + 4y + y2 = 0 + 6

Combine like terms: 0 + 6 = 6

X2 + -2x + 4y + y2 = 6

Add ‘2x’ to each side of the equation.

X2 + -2x + 4y + 2x + y2 = 6 + 2x

Reorder the terms:

X2 + -2x + 2x + 4y + y2 = 6 + 2x

Combine like terms: -2x + 2x = 0

X2 + 0 + 4y + y2 = 6 + 2x

X2 + 4y + y2 = 6 + 2x

Add ‘-4y’ to each side of the equation.

X2 + 4y + -4y + y2 = 6 + 2x + -4y

Combine like terms: 4y + -4y = 0

X2 + 0 + y2 = 6 + 2x + -4y

X2 + y2 = 6 + 2x + -4y

Add ‘-1y2’ to each side of the equation.

X2 + y2 + -1y2 = 6 + 2x + -4y + -1y2

Combine like terms: y2 + -1y2 = 0

X2 + 0 = 6 + 2x + -4y + -1y2

X2 = 6 + 2x + -4y + -1y2

Simplifying

X2 = 6 + 2x + -4y + -1y2

Reorder the terms:

-6 + X2 + -2x + 4y + y2 = 6 + 2x + -4y + -1y2 + -6 + -2x + 4y + y2

Reorder the terms:

-6 + X2 + -2x + 4y + y2 = 6 + -6 + 2x + -2x + -4y + 4y + -1y2 + y2

Combine like terms: 6 + -6 = 0

-6 + X2 + -2x + 4y + y2 = 0 + 2x + -2x + -4y + 4y + -1y2 + y2

-6 + X2 + -2x + 4y + y2 = 2x + -2x + -4y + 4y + -1y2 + y2

Combine like terms: 2x + -2x = 0

-6 + X2 + -2x + 4y + y2 = 0 + -4y + 4y + -1y2 + y2

-6 + X2 + -2x + 4y + y2 = -4y + 4y + -1y2 + y2

Combine like terms: -4y + 4y = 0

-6 + X2 + -2x + 4y + y2 = 0 + -1y2 + y2

-6 + X2 + -2x + 4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0

-6 + X2 + -2x + 4y + y2 = 0