3x^2+3y^2-12y-3=0

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


Simplifying
3x2 + 3y2 + -12y + -3 = 0

Reorder the terms:
-3 + 3x2 + -12y + 3y2 = 0

Solving
-3 + 3x2 + -12y + 3y2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3x2 + -12y + 3 + 3y2 = 0 + 3

Reorder the terms:
-3 + 3 + 3x2 + -12y + 3y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 + -12y + 3y2 = 0 + 3
3x2 + -12y + 3y2 = 0 + 3

Combine like terms: 0 + 3 = 3
3x2 + -12y + 3y2 = 3

Add '12y' to each side of the equation.
3x2 + -12y + 12y + 3y2 = 3 + 12y

Combine like terms: -12y + 12y = 0
3x2 + 0 + 3y2 = 3 + 12y
3x2 + 3y2 = 3 + 12y

Add '-3y2' to each side of the equation.
3x2 + 3y2 + -3y2 = 3 + 12y + -3y2

Combine like terms: 3y2 + -3y2 = 0
3x2 + 0 = 3 + 12y + -3y2
3x2 = 3 + 12y + -3y2

Divide each side by '3'.
x2 = 1 + 4y + -1y2

Simplifying
x2 = 1 + 4y + -1y2

Reorder the terms:
-1 + x2 + -4y + y2 = 1 + 4y + -1y2 + -1 + -4y + y2

Reorder the terms:
-1 + x2 + -4y + y2 = 1 + -1 + 4y + -4y + -1y2 + y2

Combine like terms: 1 + -1 = 0
-1 + x2 + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-1 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-1 + x2 + -4y + y2 = 0 + -1y2 + y2
-1 + x2 + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-1 + x2 + -4y + y2 = 0

The solution to this equation could not be determined.

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