3x^2+3y^2-6y-1=0

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Solution for 3x^2+3y^2-6y-1=0 equation: 


Simplifying
3x2 + 3y2 + -6y + -1 = 0

Reorder the terms:
-1 + 3x2 + -6y + 3y2 = 0

Solving
-1 + 3x2 + -6y + 3y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 3x2 + -6y + 1 + 3y2 = 0 + 1

Reorder the terms:
-1 + 1 + 3x2 + -6y + 3y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 + -6y + 3y2 = 0 + 1
3x2 + -6y + 3y2 = 0 + 1

Combine like terms: 0 + 1 = 1
3x2 + -6y + 3y2 = 1

Add '6y' to each side of the equation.
3x2 + -6y + 6y + 3y2 = 1 + 6y

Combine like terms: -6y + 6y = 0
3x2 + 0 + 3y2 = 1 + 6y
3x2 + 3y2 = 1 + 6y

Add '-3y2' to each side of the equation.
3x2 + 3y2 + -3y2 = 1 + 6y + -3y2

Combine like terms: 3y2 + -3y2 = 0
3x2 + 0 = 1 + 6y + -3y2
3x2 = 1 + 6y + -3y2

Divide each side by '3'.
x2 = 0.3333333333 + 2y + -1y2

Simplifying
x2 = 0.3333333333 + 2y + -1y2

Reorder the terms:
-0.3333333333 + x2 + -2y + y2 = 0.3333333333 + 2y + -1y2 + -0.3333333333 + -2y + y2

Reorder the terms:
-0.3333333333 + x2 + -2y + y2 = 0.3333333333 + -0.3333333333 + 2y + -2y + -1y2 + y2

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
-0.3333333333 + x2 + -2y + y2 = 0.0000000000 + 2y + -2y + -1y2 + y2
-0.3333333333 + x2 + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
-0.3333333333 + x2 + -2y + y2 = 0 + -1y2 + y2
-0.3333333333 + x2 + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-0.3333333333 + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

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