36X^2-108x+9y^2+6y+82=0

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Solution for 36X^2-108x+9y^2+6y+82=0 equation: 


Simplifying
36X2 + -108x + 9y2 + 6y + 82 = 0

Reorder the terms:
82 + 36X2 + -108x + 6y + 9y2 = 0

Solving
82 + 36X2 + -108x + 6y + 9y2 = 0

Solving for variable 'X'.

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

Add '-82' to each side of the equation.
82 + 36X2 + -108x + 6y + -82 + 9y2 = 0 + -82

Reorder the terms:
82 + -82 + 36X2 + -108x + 6y + 9y2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + 36X2 + -108x + 6y + 9y2 = 0 + -82
36X2 + -108x + 6y + 9y2 = 0 + -82

Combine like terms: 0 + -82 = -82
36X2 + -108x + 6y + 9y2 = -82

Add '108x' to each side of the equation.
36X2 + -108x + 6y + 108x + 9y2 = -82 + 108x

Reorder the terms:
36X2 + -108x + 108x + 6y + 9y2 = -82 + 108x

Combine like terms: -108x + 108x = 0
36X2 + 0 + 6y + 9y2 = -82 + 108x
36X2 + 6y + 9y2 = -82 + 108x

Add '-6y' to each side of the equation.
36X2 + 6y + -6y + 9y2 = -82 + 108x + -6y

Combine like terms: 6y + -6y = 0
36X2 + 0 + 9y2 = -82 + 108x + -6y
36X2 + 9y2 = -82 + 108x + -6y

Add '-9y2' to each side of the equation.
36X2 + 9y2 + -9y2 = -82 + 108x + -6y + -9y2

Combine like terms: 9y2 + -9y2 = 0
36X2 + 0 = -82 + 108x + -6y + -9y2
36X2 = -82 + 108x + -6y + -9y2

Divide each side by '36'.
X2 = -2.277777778 + 3x + -0.1666666667y + -0.25y2

Simplifying
X2 = -2.277777778 + 3x + -0.1666666667y + -0.25y2

Reorder the terms:
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = -2.277777778 + 3x + -0.1666666667y + -0.25y2 + 2.277777778 + -3x + 0.1666666667y + 0.25y2

Reorder the terms:
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = -2.277777778 + 2.277777778 + 3x + -3x + -0.1666666667y + 0.1666666667y + -0.25y2 + 0.25y2

Combine like terms: -2.277777778 + 2.277777778 = 0.000000000
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = 0.000000000 + 3x + -3x + -0.1666666667y + 0.1666666667y + -0.25y2 + 0.25y2
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = 3x + -3x + -0.1666666667y + 0.1666666667y + -0.25y2 + 0.25y2

Combine like terms: 3x + -3x = 0
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = 0 + -0.1666666667y + 0.1666666667y + -0.25y2 + 0.25y2
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = -0.1666666667y + 0.1666666667y + -0.25y2 + 0.25y2

Combine like terms: -0.1666666667y + 0.1666666667y = 0.0000000000
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = 0.0000000000 + -0.25y2 + 0.25y2
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
2.277777778 + X2 + -3x + 0.1666666667y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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