X^2+4y^2+2x+32y+61=0

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Solution for X^2+4y^2+2x+32y+61=0 equation: 


Simplifying
X2 + 4y2 + 2x + 32y + 61 = 0

Reorder the terms:
61 + X2 + 2x + 32y + 4y2 = 0

Solving
61 + X2 + 2x + 32y + 4y2 = 0

Solving for variable 'X'.

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

Add '-61' to each side of the equation.
61 + X2 + 2x + 32y + -61 + 4y2 = 0 + -61

Reorder the terms:
61 + -61 + X2 + 2x + 32y + 4y2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + X2 + 2x + 32y + 4y2 = 0 + -61
X2 + 2x + 32y + 4y2 = 0 + -61

Combine like terms: 0 + -61 = -61
X2 + 2x + 32y + 4y2 = -61

Add '-2x' to each side of the equation.
X2 + 2x + 32y + -2x + 4y2 = -61 + -2x

Reorder the terms:
X2 + 2x + -2x + 32y + 4y2 = -61 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 32y + 4y2 = -61 + -2x
X2 + 32y + 4y2 = -61 + -2x

Add '-32y' to each side of the equation.
X2 + 32y + -32y + 4y2 = -61 + -2x + -32y

Combine like terms: 32y + -32y = 0
X2 + 0 + 4y2 = -61 + -2x + -32y
X2 + 4y2 = -61 + -2x + -32y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -61 + -2x + -32y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -61 + -2x + -32y + -4y2
X2 = -61 + -2x + -32y + -4y2

Simplifying
X2 = -61 + -2x + -32y + -4y2

Reorder the terms:
61 + X2 + 2x + 32y + 4y2 = -61 + -2x + -32y + -4y2 + 61 + 2x + 32y + 4y2

Reorder the terms:
61 + X2 + 2x + 32y + 4y2 = -61 + 61 + -2x + 2x + -32y + 32y + -4y2 + 4y2

Combine like terms: -61 + 61 = 0
61 + X2 + 2x + 32y + 4y2 = 0 + -2x + 2x + -32y + 32y + -4y2 + 4y2
61 + X2 + 2x + 32y + 4y2 = -2x + 2x + -32y + 32y + -4y2 + 4y2

Combine like terms: -2x + 2x = 0
61 + X2 + 2x + 32y + 4y2 = 0 + -32y + 32y + -4y2 + 4y2
61 + X2 + 2x + 32y + 4y2 = -32y + 32y + -4y2 + 4y2

Combine like terms: -32y + 32y = 0
61 + X2 + 2x + 32y + 4y2 = 0 + -4y2 + 4y2
61 + X2 + 2x + 32y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
61 + X2 + 2x + 32y + 4y2 = 0

The solution to this equation could not be determined.

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