3x^2+3y^2-6y-2=0

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Solution for 3x^2+3y^2-6y-2=0 equation: 


Simplifying
3x2 + 3y2 + -6y + -2 = 0

Reorder the terms:
-2 + 3x2 + -6y + 3y2 = 0

Solving
-2 + 3x2 + -6y + 3y2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 3x2 + -6y + 2 + 3y2 = 0 + 2

Reorder the terms:
-2 + 2 + 3x2 + -6y + 3y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 + -6y + 3y2 = 0 + 2
3x2 + -6y + 3y2 = 0 + 2

Combine like terms: 0 + 2 = 2
3x2 + -6y + 3y2 = 2

Add '6y' to each side of the equation.
3x2 + -6y + 6y + 3y2 = 2 + 6y

Combine like terms: -6y + 6y = 0
3x2 + 0 + 3y2 = 2 + 6y
3x2 + 3y2 = 2 + 6y

Add '-3y2' to each side of the equation.
3x2 + 3y2 + -3y2 = 2 + 6y + -3y2

Combine like terms: 3y2 + -3y2 = 0
3x2 + 0 = 2 + 6y + -3y2
3x2 = 2 + 6y + -3y2

Divide each side by '3'.
x2 = 0.6666666667 + 2y + -1y2

Simplifying
x2 = 0.6666666667 + 2y + -1y2

Reorder the terms:
-0.6666666667 + x2 + -2y + y2 = 0.6666666667 + 2y + -1y2 + -0.6666666667 + -2y + y2

Reorder the terms:
-0.6666666667 + x2 + -2y + y2 = 0.6666666667 + -0.6666666667 + 2y + -2y + -1y2 + y2

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
-0.6666666667 + x2 + -2y + y2 = 0.0000000000 + 2y + -2y + -1y2 + y2
-0.6666666667 + x2 + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
-0.6666666667 + x2 + -2y + y2 = 0 + -1y2 + y2
-0.6666666667 + x2 + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-0.6666666667 + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

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