3x^2+3Y^2-18x+12y+11=0

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Solution for 3x^2+3Y^2-18x+12y+11=0 equation: 


Simplifying
3x2 + 3Y2 + -18x + 12y + 11 = 0

Reorder the terms:
11 + 3Y2 + -18x + 3x2 + 12y = 0

Solving
11 + 3Y2 + -18x + 3x2 + 12y = 0

Solving for variable 'Y'.

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

Add '-11' to each side of the equation.
11 + 3Y2 + -18x + 3x2 + -11 + 12y = 0 + -11

Reorder the terms:
11 + -11 + 3Y2 + -18x + 3x2 + 12y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3Y2 + -18x + 3x2 + 12y = 0 + -11
3Y2 + -18x + 3x2 + 12y = 0 + -11

Combine like terms: 0 + -11 = -11
3Y2 + -18x + 3x2 + 12y = -11

Add '18x' to each side of the equation.
3Y2 + -18x + 3x2 + 18x + 12y = -11 + 18x

Reorder the terms:
3Y2 + -18x + 18x + 3x2 + 12y = -11 + 18x

Combine like terms: -18x + 18x = 0
3Y2 + 0 + 3x2 + 12y = -11 + 18x
3Y2 + 3x2 + 12y = -11 + 18x

Add '-3x2' to each side of the equation.
3Y2 + 3x2 + -3x2 + 12y = -11 + 18x + -3x2

Combine like terms: 3x2 + -3x2 = 0
3Y2 + 0 + 12y = -11 + 18x + -3x2
3Y2 + 12y = -11 + 18x + -3x2

Add '-12y' to each side of the equation.
3Y2 + 12y + -12y = -11 + 18x + -3x2 + -12y

Combine like terms: 12y + -12y = 0
3Y2 + 0 = -11 + 18x + -3x2 + -12y
3Y2 = -11 + 18x + -3x2 + -12y

Divide each side by '3'.
Y2 = -3.666666667 + 6x + -1x2 + -4y

Simplifying
Y2 = -3.666666667 + 6x + -1x2 + -4y

Reorder the terms:
3.666666667 + Y2 + -6x + x2 + 4y = -3.666666667 + 6x + -1x2 + -4y + 3.666666667 + -6x + x2 + 4y

Reorder the terms:
3.666666667 + Y2 + -6x + x2 + 4y = -3.666666667 + 3.666666667 + 6x + -6x + -1x2 + x2 + -4y + 4y

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
3.666666667 + Y2 + -6x + x2 + 4y = 0.000000000 + 6x + -6x + -1x2 + x2 + -4y + 4y
3.666666667 + Y2 + -6x + x2 + 4y = 6x + -6x + -1x2 + x2 + -4y + 4y

Combine like terms: 6x + -6x = 0
3.666666667 + Y2 + -6x + x2 + 4y = 0 + -1x2 + x2 + -4y + 4y
3.666666667 + Y2 + -6x + x2 + 4y = -1x2 + x2 + -4y + 4y

Combine like terms: -1x2 + x2 = 0
3.666666667 + Y2 + -6x + x2 + 4y = 0 + -4y + 4y
3.666666667 + Y2 + -6x + x2 + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
3.666666667 + Y2 + -6x + x2 + 4y = 0

The solution to this equation could not be determined.

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