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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '6'.
x2 = 0.5 + y + -0.1666666667y2

Simplifying
x2 = 0.5 + y + -0.1666666667y2

Reorder the terms:
-0.5 + x2 + -1y + 0.1666666667y2 = 0.5 + y + -0.1666666667y2 + -0.5 + -1y + 0.1666666667y2

Reorder the terms:
-0.5 + x2 + -1y + 0.1666666667y2 = 0.5 + -0.5 + y + -1y + -0.1666666667y2 + 0.1666666667y2

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + x2 + -1y + 0.1666666667y2 = 0.0 + y + -1y + -0.1666666667y2 + 0.1666666667y2
-0.5 + x2 + -1y + 0.1666666667y2 = y + -1y + -0.1666666667y2 + 0.1666666667y2

Combine like terms: y + -1y = 0
-0.5 + x2 + -1y + 0.1666666667y2 = 0 + -0.1666666667y2 + 0.1666666667y2
-0.5 + x2 + -1y + 0.1666666667y2 = -0.1666666667y2 + 0.1666666667y2

Combine like terms: -0.1666666667y2 + 0.1666666667y2 = 0.0000000000
-0.5 + x2 + -1y + 0.1666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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