X^2+y^2+6y+13=40

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Solution for X^2+y^2+6y+13=40 equation:


Simplifying
X2 + y2 + 6y + 13 = 40

Reorder the terms:
13 + X2 + 6y + y2 = 40

Solving
13 + X2 + 6y + y2 = 40

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 + 6y + -13 + y2 = 40 + -13

Reorder the terms:
13 + -13 + X2 + 6y + y2 = 40 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + 6y + y2 = 40 + -13
X2 + 6y + y2 = 40 + -13

Combine like terms: 40 + -13 = 27
X2 + 6y + y2 = 27

Add '-6y' to each side of the equation.
X2 + 6y + -6y + y2 = 27 + -6y

Combine like terms: 6y + -6y = 0
X2 + 0 + y2 = 27 + -6y
X2 + y2 = 27 + -6y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 27 + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 27 + -6y + -1y2
X2 = 27 + -6y + -1y2

Simplifying
X2 = 27 + -6y + -1y2

Reorder the terms:
-27 + X2 + 6y + y2 = 27 + -6y + -1y2 + -27 + 6y + y2

Reorder the terms:
-27 + X2 + 6y + y2 = 27 + -27 + -6y + 6y + -1y2 + y2

Combine like terms: 27 + -27 = 0
-27 + X2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2
-27 + X2 + 6y + y2 = -6y + 6y + -1y2 + y2

Combine like terms: -6y + 6y = 0
-27 + X2 + 6y + y2 = 0 + -1y2 + y2
-27 + X2 + 6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-27 + X2 + 6y + y2 = 0

The solution to this equation could not be determined.

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