X^2+6y^2+17x+2y-38=0

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Solution for X^2+6y^2+17x+2y-38=0 equation:


Simplifying
X2 + 6y2 + 17x + 2y + -38 = 0

Reorder the terms:
-38 + X2 + 17x + 2y + 6y2 = 0

Solving
-38 + X2 + 17x + 2y + 6y2 = 0

Solving for variable 'X'.

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

Add '38' to each side of the equation.
-38 + X2 + 17x + 2y + 38 + 6y2 = 0 + 38

Reorder the terms:
-38 + 38 + X2 + 17x + 2y + 6y2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + X2 + 17x + 2y + 6y2 = 0 + 38
X2 + 17x + 2y + 6y2 = 0 + 38

Combine like terms: 0 + 38 = 38
X2 + 17x + 2y + 6y2 = 38

Add '-17x' to each side of the equation.
X2 + 17x + 2y + -17x + 6y2 = 38 + -17x

Reorder the terms:
X2 + 17x + -17x + 2y + 6y2 = 38 + -17x

Combine like terms: 17x + -17x = 0
X2 + 0 + 2y + 6y2 = 38 + -17x
X2 + 2y + 6y2 = 38 + -17x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + 6y2 = 38 + -17x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + 6y2 = 38 + -17x + -2y
X2 + 6y2 = 38 + -17x + -2y

Add '-6y2' to each side of the equation.
X2 + 6y2 + -6y2 = 38 + -17x + -2y + -6y2

Combine like terms: 6y2 + -6y2 = 0
X2 + 0 = 38 + -17x + -2y + -6y2
X2 = 38 + -17x + -2y + -6y2

Simplifying
X2 = 38 + -17x + -2y + -6y2

Reorder the terms:
-38 + X2 + 17x + 2y + 6y2 = 38 + -17x + -2y + -6y2 + -38 + 17x + 2y + 6y2

Reorder the terms:
-38 + X2 + 17x + 2y + 6y2 = 38 + -38 + -17x + 17x + -2y + 2y + -6y2 + 6y2

Combine like terms: 38 + -38 = 0
-38 + X2 + 17x + 2y + 6y2 = 0 + -17x + 17x + -2y + 2y + -6y2 + 6y2
-38 + X2 + 17x + 2y + 6y2 = -17x + 17x + -2y + 2y + -6y2 + 6y2

Combine like terms: -17x + 17x = 0
-38 + X2 + 17x + 2y + 6y2 = 0 + -2y + 2y + -6y2 + 6y2
-38 + X2 + 17x + 2y + 6y2 = -2y + 2y + -6y2 + 6y2

Combine like terms: -2y + 2y = 0
-38 + X2 + 17x + 2y + 6y2 = 0 + -6y2 + 6y2
-38 + X2 + 17x + 2y + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-38 + X2 + 17x + 2y + 6y2 = 0

The solution to this equation could not be determined.

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