X^2-2y^2+37x-2y+40=0

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Solution for X^2-2y^2+37x-2y+40=0 equation:


Simplifying
X2 + -2y2 + 37x + -2y + 40 = 0

Reorder the terms:
40 + X2 + 37x + -2y + -2y2 = 0

Solving
40 + X2 + 37x + -2y + -2y2 = 0

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + X2 + 37x + -2y + -40 + -2y2 = 0 + -40

Reorder the terms:
40 + -40 + X2 + 37x + -2y + -2y2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + X2 + 37x + -2y + -2y2 = 0 + -40
X2 + 37x + -2y + -2y2 = 0 + -40

Combine like terms: 0 + -40 = -40
X2 + 37x + -2y + -2y2 = -40

Add '-37x' to each side of the equation.
X2 + 37x + -2y + -37x + -2y2 = -40 + -37x

Reorder the terms:
X2 + 37x + -37x + -2y + -2y2 = -40 + -37x

Combine like terms: 37x + -37x = 0
X2 + 0 + -2y + -2y2 = -40 + -37x
X2 + -2y + -2y2 = -40 + -37x

Add '2y' to each side of the equation.
X2 + -2y + 2y + -2y2 = -40 + -37x + 2y

Combine like terms: -2y + 2y = 0
X2 + 0 + -2y2 = -40 + -37x + 2y
X2 + -2y2 = -40 + -37x + 2y

Add '2y2' to each side of the equation.
X2 + -2y2 + 2y2 = -40 + -37x + 2y + 2y2

Combine like terms: -2y2 + 2y2 = 0
X2 + 0 = -40 + -37x + 2y + 2y2
X2 = -40 + -37x + 2y + 2y2

Simplifying
X2 = -40 + -37x + 2y + 2y2

Reorder the terms:
40 + X2 + 37x + -2y + -2y2 = -40 + -37x + 2y + 2y2 + 40 + 37x + -2y + -2y2

Reorder the terms:
40 + X2 + 37x + -2y + -2y2 = -40 + 40 + -37x + 37x + 2y + -2y + 2y2 + -2y2

Combine like terms: -40 + 40 = 0
40 + X2 + 37x + -2y + -2y2 = 0 + -37x + 37x + 2y + -2y + 2y2 + -2y2
40 + X2 + 37x + -2y + -2y2 = -37x + 37x + 2y + -2y + 2y2 + -2y2

Combine like terms: -37x + 37x = 0
40 + X2 + 37x + -2y + -2y2 = 0 + 2y + -2y + 2y2 + -2y2
40 + X2 + 37x + -2y + -2y2 = 2y + -2y + 2y2 + -2y2

Combine like terms: 2y + -2y = 0
40 + X2 + 37x + -2y + -2y2 = 0 + 2y2 + -2y2
40 + X2 + 37x + -2y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
40 + X2 + 37x + -2y + -2y2 = 0

The solution to this equation could not be determined.

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